Manipulation of atoms by optical field

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The manipulation of atoms using optical fields is a vital and fundamental area of research within the field of atomic physics. This research revolves around leveraging the distinct characteristics of laser light and coherent optical fields to achieve precise control over various aspects of atomic systems. These aspects encompass regulating atomic motion, positioning atoms, manipulating internal states, and facilitating intricate interactions with neighboring atoms and photons. The utilization of optical fields provides a powerful toolset for exploring and understanding the quantum behavior of atoms and opens up promising avenues for applications in atomic, molecular, and optical physics.

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Examples

Optical tweezers

Optical tweezers are a powerful and versatile tool used in atomic physics. Developed in the 1970s by Arthur Ashkin, optical tweezers have revolutionized research in various fields, enabling scientists to study the behavior of individual particles and explore fundamental phenomena. The development of optical tweezers resulted in Ashkin receiving the Nobel Prize in Physics in 2018.

The underlying principle of optical tweezers relies on the transfer of momentum from the photons in the laser beam to the trapped particle. When a tightly focused laser beam interacts with a small particle, the variation in the intensity of the laser light creates an attractive force towards the region of highest intensity. This force effectively traps the particle at the focal point of the laser beam.

The trapping force generated by the optical tweezers depends on several factors, including the intensity of the laser beam, the refractive index of the particle and the surrounding medium, and the size and shape of the particle. By adjusting these parameters, researchers can control the strength and stability of the trapping potential.

Manipulation of a Bose–Einstein condensate (BEC) using a standing light wave

The manipulation of a Bose–Einstein condensate (BEC) using a standing light wave is an important technique in the field of atomic physics. A Bose-Einstein condensate is a state of matter that emerges when a group of atoms is cooled to extremely low temperatures, approaching absolute zero. Within this state, all the atoms composing the condensate converge into a single quantum state with macroscopic quantum coherence and behave as a unified, wave-like entity.

One way to manipulate a BEC is by subjecting it to a standing light wave, which is formed by two counter-propagating laser beams. The frequency of these lasers is carefully chosen to match the energy difference between specific atomic energy levels, creating resonant interactions with the atoms in the condensate.

The key phenomenon at play here is the two-photon recoil process. When a cold atom in the BEC absorbs a photon from one of the laser beams, it gains energy and gets excited to a higher energy level. Almost instantaneously, the atom emits a photon in the opposite direction, in the other laser beam, and returns to its initial state. As a result of this two-photon process, the atom receives a net momentum kick with a magnitude of 2ħk (where ħ is the reduced Planck constant and k is the magnitude of the wave vector of the laser) in the direction of the absorbed photon.

Due to this momentum kick, the BEC cloud, which initially sits at the center of a trap, is split into two identical clouds. These two clouds then travel in opposite directions with a velocity proportional to the momentum kick they receive from the absorbed photons.

This manipulation of a BEC using a standing light wave is significant for several reasons:

  1. It allows precise control of the position and motion of the BEC cloud
  2. Splitting the BEC into two identical clouds is useful for studying quantum interference and coherence effects.
  3. This technique is crucial for investigating quantum phenomena and understanding the behavior of quantum gases at ultra-cold temperatures.
  4. The controlled manipulation of BECs using optical fields has promising applications in quantum information processing, precision measurements, and quantum simulation.

Optical molasses

Steven Chu, along with Claude Cohen-Tannoudji and William D. Phillips, were awarded the Nobel Prize in Physics in 1997 for their groundbreaking contributions to the development of methods to laser cool and trap atoms with laser light. Chu and his colleagues developed a technique called "optical molasses", which involved using carefully tuned laser beams to slow down and cool atoms in three dimensions. This process was akin to slowing down the atoms and confining them using an "optical trap".

Optical molasses relies on the interaction between atoms and laser light to slow down the atoms' movement. This process takes advantage of the fact that atoms can absorb and emit photons when they are exposed to laser light of specific frequencies.

The basic idea is to use laser beams that are red-detuned from an atomic transition. Red-detuned means that the frequency of the laser light is lower than the natural resonance frequency of the atoms. When atoms encounter such red-detuned laser light, they experience a "light shift", which creates a spatially dependent potential energy landscape.

In the context of optical molasses, the term "molasses" refers to the slowing down of atoms, analogous to how molasses slows down the movement of objects moving through it. The molasses effect in laser cooling arises from the spatially varying light shift created by the red-detuned laser beams.

When an atom moves in the presence of the laser beams, it experiences a varying light shift due to the intensity gradient of the laser light. This variation in the light shift creates an optical force that opposes the atom's motion, causing it to slow down. Atoms moving in the direction opposite to the laser beams experience the largest light shifts, leading to effective cooling.

Doppler cooling

Doppler cooling involves using laser light that is red-detuned from an atomic transition, which means the laser frequency is higher than the natural resonance frequency of the atoms. When atoms move towards the laser beam, they experience a higher frequency light shift, resulting in an optical force that slows them down. Doppler cooling is effective for cooling atoms along one direction but fails to cool atoms in all three dimensions.

Optical molasses overcomes this limitation by employing multiple laser beams with different propagation directions and polarizations. The combined effect of the different beams allows cooling in all three dimensions, effectively trapping the atoms in the regions of lowest light intensity.

By carefully controlling the intensity, frequency, and polarization of the laser beams, researchers can achieve cooling to temperatures just above absolute zero, creating ultracold atomic samples most likely limited by the linewidth of the transition and if not, by the recoil limit associated with the minimum kinetic after having emitted a photon. Sub-Doppler cooling may then be used to cool beyond these limits.

Magneto-optical trap

A magneto-optical trap (MOT) confines and manipulates atoms using the combined action of magnetic fields and laser light. This innovative approach has paved the way for significant advancements in quantum optics, quantum information processing, and precision measurements.

The first step in the operation of a MOT involves the cooling of atoms using Doppler Cooling (discussed in the section above). To further trap and confine the cooled atoms, magnetic fields are employed in conjunction with the laser cooling mechanism. These magnetic fields create an energy landscape in space, and the atomic magnetic moments experience forces that depend on their position within this landscape. By carefully adjusting the magnetic field gradients, the atomic ensemble is trapped at regions where the forces are minimized.

Applications

Quantum computing

Atoms can be used as qubits in quantum computing. The precise control offered by optical manipulation allows scientists to encode and manipulate quantum information in the quantum states of individual atoms. Laser beams and optical fields can coherently control the quantum states of atoms, enabling the creation of reliable qubits.

Optical manipulation techniques, such as laser cooling, can lead to long coherence times for atoms. Coherence time refers to the time during which a quantum system can maintain its quantum superposition state before decoherence occurs. Long coherence times are essential for performing quantum operations and minimizing errors in quantum computations.

Quantum computing relies heavily on the phenomenon of entanglement, where qubits become deeply interconnected and share correlations that are impossible to reproduce classically. Optical manipulation can create and control entangled states of atoms, enabling the implementation of quantum algorithms and computational speedup.

Optical manipulation techniques can be readily scaled to control larger numbers of atoms, paving the way for building scalable quantum computers. The ability to trap and manipulate arrays of atoms using optical lattices allows for the creation of larger and more complex quantum circuits. An example of controlling larger numbers of atoms can be seen in the manipulation of a BEC using counter propagating waves.

Atomic clocks

Optical manipulation involves laser cooling and trapping of atoms, reducing their kinetic energy to extremely low temperatures. This process allows scientists to create ultracold atomic ensembles with minimal thermal motion, leading to narrow linewidths in atomic transitions. Narrow linewidths are essential for achieving high precision in atomic clocks. Laser cooling and optical manipulation can also extend the coherence time of atomic states, reducing the sensitivity of atomic clocks to external disturbances. Longer coherence times translate into increased clock stability, allowing atomic clocks to maintain their precision over longer intervals.

This leads to the creation of extremely narrow and well-defined atomic resonances. These narrow resonances enable more precise measurement of atomic transitions, resulting in more accurate frequency references for atomic clocks.

Related Research Articles

<span class="mw-page-title-main">Laser cooling</span> Class of methods for cooling atoms to very low temperatures

Laser cooling includes several techniques where atoms, molecules, and small mechanical systems are cooled with laser light. The directed energy of lasers is often associated with heating materials, e.g. laser cutting, so it can be counterintuitive that laser cooling often results in sample temperatures approaching absolute zero. It is a routine step in many atomic physics experiments where the laser-cooled atoms are then subsequently manipulated and measured, or in technologies, such as atom-based quantum computing architectures. Laser cooling relies on the change in momentum when an object, such as an atom, absorbs and re-emits a photon. For example, if laser light illuminates a warm cloud of atoms from all directions and the laser's frequency is tuned below an atomic resonance, the atoms will be cooled. This common type of laser cooling relies on the Doppler effect where individual atoms will preferentially absorb laser light from the direction opposite to the atom's motion. The absorbed light is re-emitted by the atom in a random direction. After repeated emission and absorption of light the net effect on the cloud of atoms is that they will expand more slowly. The slower expansion reflects a decrease in the velocity distribution of the atoms, which corresponds to a lower temperature and therefore the atoms have been cooled. For an ensemble of particles, their thermodynamic temperature is proportional to the variance in their velocity, therefore the lower the distribution of velocities, the lower temperature of the particles.

Coherence expresses the potential for two waves to interfere. Two monochromatic beams from a single source always interfere. Wave sources are not strictly monochromatic: they may be partly coherent. Beams from different sources are mutually incoherent.

<span class="mw-page-title-main">Optical tweezers</span> Scientific instruments

Optical tweezers are scientific instruments that use a highly focused laser beam to hold and move microscopic and sub-microscopic objects like atoms, nanoparticles and droplets, in a manner similar to tweezers. If the object is held in air or vacuum without additional support, it can be called optical levitation.

Quantum optics is a branch of atomic, molecular, and optical physics dealing with how individual quanta of light, known as photons, interact with atoms and molecules. It includes the study of the particle-like properties of photons. Photons have been used to test many of the counter-intuitive predictions of quantum mechanics, such as entanglement and teleportation, and are a useful resource for quantum information processing.

<span class="mw-page-title-main">Evaporative cooling (atomic physics)</span> Atomic physics technique to achieve high phase space densities

Evaporative cooling is an atomic physics technique to achieve high phase space densities which optical cooling techniques alone typically can not reach.

Resolved sideband cooling is a laser cooling technique allowing cooling of tightly bound atoms and ions beyond the Doppler cooling limit, potentially to their motional ground state. Aside from the curiosity of having a particle at zero point energy, such preparation of a particle in a definite state with high probability (initialization) is an essential part of state manipulation experiments in quantum optics and quantum computing.

<span class="mw-page-title-main">Optical molasses</span> Laser technique cooling atoms to temperatures lower than a magneto-optical trap

Optical molasses is a laser cooling technique that can cool neutral atoms to as low as a few microkelvin, depending on the atomic species. An optical molasses consists of 3 pairs of counter-propagating circularly polarized laser beams intersecting in the region where the atoms are present. The main difference between optical molasses and an MOT is the absence of magnetic field in the former. Therefore, unlike a MOT, an optical molasses provides only cooling and no trapping.

An atom laser is a coherent state of propagating atoms. They are created out of a Bose–Einstein condensate of atoms that are output coupled using various techniques. Much like an optical laser, an atom laser is a coherent beam that behaves like a wave. There has been some argument that the term "atom laser" is misleading. Indeed, "laser" stands for light amplification by stimulated emission of radiation which is not particularly related to the physical object called an atom laser, and perhaps describes more accurately the Bose–Einstein condensate (BEC). The terminology most widely used in the community today is to distinguish between the BEC, typically obtained by evaporation in a conservative trap, from the atom laser itself, which is a propagating atomic wave obtained by extraction from a previously realized BEC. Some ongoing experimental research tries to obtain directly an atom laser from a "hot" beam of atoms without making a trapped BEC first.

<span class="mw-page-title-main">Optical lattice</span> Atomic-scale structure formed through the Stark shift by opposing beams of light

An optical lattice is formed by the interference of counter-propagating laser beams, creating a spatially periodic polarization pattern. The resulting periodic potential may trap neutral atoms via the Stark shift. Atoms are cooled and congregate at the potential extrema. The resulting arrangement of trapped atoms resembles a crystal lattice and can be used for quantum simulation.

<span class="mw-page-title-main">Doppler cooling</span> Laser cooling technique

Doppler cooling is a mechanism that can be used to trap and slow the motion of atoms to cool a substance. The term is sometimes used synonymously with laser cooling, though laser cooling includes other techniques.

<span class="mw-page-title-main">Magneto-optical trap</span> Apparatus for trapping and cooling neutral atoms

In atomic, molecular, and optical physics, a magneto-optical trap (MOT) is an apparatus which uses laser cooling and a spatially-varying magnetic field to create a trap which can produce samples of cold, neutral atoms. Temperatures achieved in a MOT can be as low as several microkelvin, depending on the atomic species, which is two or three times below the photon recoil limit. However, for atoms with an unresolved hyperfine structure, such as 7Li, the temperature achieved in a MOT will be higher than the Doppler cooling limit.

In condensed matter physics, an ultracold atom is an atom with a temperature near absolute zero. At such temperatures, an atom's quantum-mechanical properties become important.

In spectroscopy, the Autler–Townes effect, is a dynamical Stark effect corresponding to the case when an oscillating electric field is tuned in resonance to the transition frequency of a given spectral line, and resulting in a change of the shape of the absorption/emission spectra of that spectral line. The AC Stark effect was discovered in 1955 by American physicists Stanley Autler and Charles Townes.

<span class="mw-page-title-main">Mark G. Raizen</span> American physicist

Mark George Raizen is an American physicist who conducts experiments on quantum optics and atom optics.

<span class="mw-page-title-main">Sisyphus cooling</span> Type of laser cooling

In ultra-low-temperature physics, Sisyphus cooling, the Sisyphus effect, or polarization gradient cooling involves the use of specially selected laser light, hitting atoms from various angles to both cool and trap them in a potential well, effectively rolling the atom down a hill of potential energy until it has lost its kinetic energy. It is a type of laser cooling of atoms used to reach temperatures below the Doppler cooling limit. This cooling method was first proposed by Claude Cohen-Tannoudji in 1989, motivated by earlier experiments which observed sodium atoms cooled below the Doppler limit in an optical molasses. Cohen-Tannoudji received part of the Nobel Prize in Physics in 1997 for his work. The technique is named after Sisyphus, a figure in the Greek mythology who was doomed, for all eternity, to roll a stone up a mountain only to have it roll down again whenever he got it near the summit.

In atomic physics, Raman cooling is a sub-recoil cooling technique that allows the cooling of atoms using optical methods below the limitations of Doppler cooling, Doppler cooling being limited by the recoil energy of a photon given to an atom. This scheme can be performed in simple optical molasses or in molasses where an optical lattice has been superimposed, which are called respectively free space Raman cooling and Raman sideband cooling. Both techniques make use of Raman scattering of laser light by the atoms.

Sub-Doppler cooling is a class of laser cooling techniques that reduce the temperature of atoms and molecules below the Doppler cooling limit. In experiment implementation, Doppler cooling is limited by the broad natural linewidth of the lasers used in cooling. Regardless of the transition used, however, Doppler cooling processes have an intrinsic cooling limit that is characterized by the momentum recoil from the emission of a photon from the particle. This is called the recoil temperature and is usually far below the linewidth-based limit mentioned above.

<span class="mw-page-title-main">Cavity optomechanics</span> Branch of physics

Cavity optomechanics is a branch of physics which focuses on the interaction between light and mechanical objects on low-energy scales. It is a cross field of optics, quantum optics, solid-state physics and materials science. The motivation for research on cavity optomechanics comes from fundamental effects of quantum theory and gravity, as well as technological applications.

Halina Rubinsztein-Dunlop is a professor of physics at the University of Queensland and an Officer of the Order of Australia. She has led pioneering research in atom optics, laser micro-manipulation using optical tweezers, laser enhanced ionisation spectroscopy, biophysics and quantum physics.

The I. I. Rabi Prize in Atomic, Molecular, and Optical Physics is given by the American Physical Society to recognize outstanding work by mid-career researchers in the field of atomic, molecular, and optical physics. The award was endowed in 1989 in honor of the physicist I. I. Rabi and has been awarded biannually since 1991.

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