Quantum 1/f noise

Last updated

Quantum 1/f noise is an intrinsic and fundamental part of quantum mechanics. Fighter pilots, photographers, and scientists all appreciate the higher quality of images and signals resulting from the consideration of quantum 1/f noise. Engineers have battled unwanted 1/f noise since 1925, giving it poetic names (such as flicker noise, funkelrauschen, bruit de scintillation, etc.) due to its mysterious nature. The Quantum 1/f noise theory was developed about 50 years later, describing the nature of 1/f noise, allowing it to be explained and calculated via straightforward engineering formulas. It allows for the low-noise optimization of materials, devices and systems of most high-technology applications of modern industry and science. The theory includes the conventional and coherent quantum 1/f effects (Q1/fE). Both effects are combined in a general engineering formula, and present in Q1/f noise, which is itself most of fundamental 1/f noise. The latter is defined as the result of the simultaneous presence of nonlinearity and a certain type of homogeneity in a system, and can be quantum or classical.

Contents

The conventional Q1/fE represents 1/f fluctuations caused by bremsstrahlung, decoherence and interference in the scattering of charged particles off one another, in tunneling or in any other process in solid state physics and in general.

Other noise data sets

It has also recently been claimed that 1/f noise has been seen in higher ordered self constructing functions, as well as complex systems, both biological, chemical, and physical.[ citation needed ]

The theory

The basic derivation of quantum 1/f was made by Peter Handel, a theoretical physicist at the University of Missouri–St. Louis, and published in Physical Review A , in August 1980.

Several hundred papers[ vague ] have been published by many authors[ vague ] on Handel's quantum theory on 1/f noise, which is a new aspect of quantum mechanics. They verified, applied, and further developed the quantum 1/f noise formulas. [1] Aldert van der Ziel, the nestor of the electronic noise field, verified and applied it in many devices and systems, together with dozens of his PhD students. It is described in the last of his 12 books: "Noise in electronic devices and circuits" published by Wiley in 1986. He also updated and generalized many verifications, practical applications, etc., in his authoritative 1988 review "Unified Description of 1/f Noise" in Proceedings of IEEE. [2]

Denials of the theory

In 1986 and 1987, two independent groups of theorists of the field, Group-1: Theo Nieuwenhuizen, Daan Frenkel and Nico G. van Kampen; Group-2: Laszlo B. Kish and Peter Heszler; concluded that Handel's theory explaining the quantum 1/f effect was incorrect for both physical and mathematical reasons. [3] [4] Shortly thereafter an independent set of arguments showing that the "quantum 1/f noise" explanation of electronic 1/f noise was certainly incorrect was included in a standard review article on 1/f noise by Michael Weissman. [5] Nieuwenhuizen, et al., state in the conclusion of their paper, "As the theoretical basis for Handel's quantum theory of 1/f noise appears to be lacking, we must conclude that the agreement with experiments is fortuituous" [3] and, in this way, they are indicating that some of the published experimental results are suspicious. Though there have been attempts to answer some of the objections to Handel's theory, quantum 1/f noise is considered to be a non-existent effect by the majority of scientists that are familiar with its theory.[ citation needed ] The difficulty is that here a judgment based on fundamental science requires the knowledge of quantum electrodynamics however most of noise scientists are solid state physicists or engineers. Science citation index shows over 20 thousand papers annually with "noise" and/or "fluctuation"(s) keywords. The opinion of the above-mentioned relevant experts in the field of noise is that, until the publication rate on the non-existent quantum 1/f noise effect stays around 1 paper/year, it is more economical to refer to the old denials [3] [4] than to write up new refusals.

See also

Related Research Articles


Stochastic electrodynamics (SED) is extends classical electrodynamics (CED) of theoretical physics by adding the hypothesis of a classical Lorentz invariant radiation field having statistical properties similar to that of the electromagnetic zero-point field (ZPF) of quantum electrodynamics (QED).

Quantum metrology is the study of making high-resolution and highly sensitive measurements of physical parameters using quantum theory to describe the physical systems, particularly exploiting quantum entanglement and quantum squeezing. This field promises to develop measurement techniques that give better precision than the same measurement performed in a classical framework. Together with quantum hypothesis testing, it represents an important theoretical model at the basis of quantum sensing.

For classical dynamics at relativistic speeds, see relativistic mechanics.

<span class="mw-page-title-main">Marvin L. Cohen</span> American physicist

Marvin Lou Cohen is an American–Canadian theoretical physicist. He is a physics professor at the University of California, Berkeley. Cohen is a leading expert in the field of condensed matter physics. He is widely known for his seminal work on the electronic structure of solids.

Objective-collapse theories, also known spontaneous collapse models or dynamical reduction models, are proposed solutions to the measurement problem in quantum mechanics. As with other interpretations of quantum mechanics, they are possible explanations of why and how quantum measurements always give definite outcomes, not a superposition of them as predicted by the Schrödinger equation, and more generally how the classical world emerges from quantum theory. The fundamental idea is that the unitary evolution of the wave function describing the state of a quantum system is approximate. It works well for microscopic systems, but progressively loses its validity when the mass / complexity of the system increases.

A charge density wave (CDW) is an ordered quantum fluid of electrons in a linear chain compound or layered crystal. The electrons within a CDW form a standing wave pattern and sometimes collectively carry an electric current. The electrons in such a CDW, like those in a superconductor, can flow through a linear chain compound en masse, in a highly correlated fashion. Unlike a superconductor, however, the electric CDW current often flows in a jerky fashion, much like water dripping from a faucet due to its electrostatic properties. In a CDW, the combined effects of pinning and electrostatic interactions likely play critical roles in the CDW current's jerky behavior, as discussed in sections 4 & 5 below.

Atomtronics is an emerging type of computing consisting of matter-wave circuits which coherently guide propagating ultra-cold atoms. The systems typically include components analogous to those found in electronic or optical systems, such as beam splitters and transistors. Applications range from studies of fundamental physics to the development of practical devices.

Sergio Ferrara is an Italian physicist working on theoretical physics of elementary particles and mathematical physics. He is renowned for the discovery of theories introducing supersymmetry as a symmetry of elementary particles and of supergravity, the first significant extension of Einstein's general relativity, based on the principle of "local supersymmetry". He is an emeritus staff member at CERN and a professor emeritus at the University of California, Los Angeles.

<span class="mw-page-title-main">Xiao-Gang Wen</span> Chinese-American physicist

Xiao-Gang Wen is a Chinese-American physicist. He is a Cecil and Ida Green Professor of Physics at the Massachusetts Institute of Technology and Distinguished Visiting Research Chair at the Perimeter Institute for Theoretical Physics. His expertise is in condensed matter theory in strongly correlated electronic systems. In Oct. 2016, he was awarded the Oliver E. Buckley Condensed Matter Prize.

Spinmechatronics is neologism referring to an emerging field of research concerned with the exploitation of spin-dependent phenomena and established spintronic methodologies and technologies in conjunction with electro-mechanical, magno-mechanical, acousto-mechanical and opto-mechanical systems. Most especially, spinmechatronics concerns the integration of micro- and nano- mechatronic systems with spin physics and spintronics.

The superconducting tunnel junction (STJ) — also known as a superconductor–insulator–superconductor tunnel junction (SIS) — is an electronic device consisting of two superconductors separated by a very thin layer of insulating material. Current passes through the junction via the process of quantum tunneling. The STJ is a type of Josephson junction, though not all the properties of the STJ are described by the Josephson effect.

The Purcell effect is the enhancement of a quantum system's spontaneous emission rate by its environment. In the 1940s Edward Mills Purcell discovered the enhancement of spontaneous emission rates of atoms when they are incorporated into a resonant cavity. In terms of quantum electrodynamics the Purcell effect is a consequence of enhancement of local density of photonic states at the emitter position. It can also be considered as an interference effect. The oscillator radiates the wave which is reflected from the environment. In turn the reflection excites the oscillator either out of phase resulting in higher damping rate accompanied with the radiation enhancement or in phase with the oscillator mode leading to the radiation suppression.

<span class="mw-page-title-main">Supriyo Datta</span> Indian-American scientist and educator

Supriyo Datta is an Indian–American researcher and author. A leading figure in the modeling and understanding of nano-scale electronic conduction, he has been called "one of the most original thinkers in the field of nanoscale electronics."

Within quantum cryptography, the Decoy state quantum key distribution (QKD) protocol is the most widely implemented QKD scheme. Practical QKD systems use multi-photon sources, in contrast to the standard BB84 protocol, making them susceptible to photon number splitting (PNS) attacks. This would significantly limit the secure transmission rate or the maximum channel length in practical QKD systems. In decoy state technique, this fundamental weakness of practical QKD systems is addressed by using multiple intensity levels at the transmitter's source, i.e. qubits are transmitted by Alice using randomly chosen intensity levels, resulting in varying photon number statistics throughout the channel. At the end of the transmission Alice announces publicly which intensity level has been used for the transmission of each qubit. A successful PNS attack requires maintaining the bit error rate (BER) at the receiver's end, which can not be accomplished with multiple photon number statistics. By monitoring BERs associated with each intensity level, the two legitimate parties will be able to detect a PNS attack, with highly increased secure transmission rates or maximum channel lengths, making QKD systems suitable for practical applications.

<span class="mw-page-title-main">James P. Gordon</span> American physicist

James Power Gordon was an American physicist known for his work in the fields of optics and quantum electronics. His contributions include the design, analysis and construction of the first maser in 1954 as a doctoral student at Columbia University under the supervision of C. H. Townes, development of the quantal equivalent of Shannon's information capacity formula in 1962, development of the theory for the diffusion of atoms in an optical trap in 1980, and the discovery of what is now known as the Gordon-Haus effect in soliton transmission, together with H. A. Haus in 1986. Gordon was a member of the National Academy of Engineering and the National Academy of Sciences.

Stephan W. Koch was a German theoretical physicist. He was a professor at the University of Marburg and works on condensed-matter theory, many-body effects, and laser theory. He is best known for his seminal contributions to the optical and electronic properties of semiconductors, semiconductor quantum optics, and semiconductor laser designs. Major portion of his research work has focused on the quantum physics and application potential of semiconductor nanostructures. Besides gaining fundamental insights to the many-body quantum theory, his work has provided new possibilities to develop, e.g., laser technology, based on accurate computer simulations. His objective has been to self-consistently include all relevant many-body effects in order to eliminate phenomenological approximations that compromise predictability of effects and quantum-device designs.

<span class="mw-page-title-main">Edward Ott</span> American physicist

Edward Ott is an American physicist most noted for his contributions to the development of chaos theory.

Richard Magee Osgood Jr. was an American applied and pure physicist. He was Higgins Professor of Electrical Engineering and Applied Physics at Columbia University.

Bose–Einstein condensation of polaritons is a growing field in semiconductor optics research, which exhibits spontaneous coherence similar to a laser, but through a different mechanism. A continuous transition from polariton condensation to lasing can be made similar to that of the crossover from a Bose–Einstein condensate to a BCS state in the context of Fermi gases. Polariton condensation is sometimes called “lasing without inversion”.

<span class="mw-page-title-main">Malvin Carl Teich</span> Physicist

Malvin Carl Teich is an American electrical engineer, physicist, and computational neuroscientist which is professor emeritus of electrical engineering at Columbia University and physics at Boston University. He is also a consultant to government, academia, and private industry, where he serves as an advisor in intellectual-property conflicts. He is the coauthor of Fundamentals of Photonics, and of Fractal-Based Point Processes.

References

  1. Handel, P.H. (March 2008). "Quantum 1/f Bibliography". www.umsl.edu.
  2. Van Der Ziel, A. (1988). "Unified presentation of 1/f noise in electron devices: Fundamental 1/f noise sources". Proceedings of the IEEE. 76 (3): 233–258. doi:10.1109/5.4401.
  3. 1 2 3 Nieuwenhuizen, Th. M.; Frenkel, D.; van Kampen, N. G. (1987-03-01). "Objections to Handel's quantum theory of1/fnoise". Physical Review A. 35 (6). American Physical Society (APS): 2750–2753. Bibcode:1987PhRvA..35.2750N. doi:10.1103/physreva.35.2750. ISSN   0556-2791. PMID   9898471.
  4. 1 2 Kiss, L B; Heszler, P (1986-09-30). "An exact proof of the invalidity of 'Handel's quantum 1/f noise model', based on quantum electrodynamics". Journal of Physics C: Solid State Physics. 19 (27). IOP Publishing: L631–L633. Bibcode:1986JPhC...19L.631K. doi:10.1088/0022-3719/19/27/005. ISSN   0022-3719.
  5. Weissman, M. B. (1988). "1/ƒ Noise and other slow non-exponential kinetics in condensed matter". Reviews of Modern Physics . 60 (2): 537–571. Bibcode:1988RvMP...60..537W. doi:10.1103/RevModPhys.60.537.

Further reading

For more on Quantum 1/f noise, see:

For the coherent quantum 1/f effect, see: