Selecting this option will search all publications across the scitation platform selecting this option will search all publications for the publishersociety in context. Quantumclassical analogies the frontiers collection 2004. As resonances are scattering states that spend some time in the zone of influence of. The analogies between optical and electronic gooshanchen effects are established based on electron wave optics in semiconductor or graphenebased nanostructures. Although quantum and classical physics are founded on very different principles, similarities between quantum and. This chapter gathers quantumclassical analogies that were developed in just one or a small number of papers, so that the space allocated to them in this book cannot occupy a whole chapter, whilst at the same time, they would not fit as sections of other chapters in the book. This is the first book on the subject of quantumclassical analogies. Classical and quantum information theory by emmanuel desurvire. As resonances are scattering states that spend some time in the zone of influence of the. Springerverlag berlin heidelberg gmbh researchgate. Quantumclassical analogies the frontiers collection. We demonstrated that both classical subpoissonian and superpoissonian intensity distributions can be generated over distance depending on the nonlinear. Use features like bookmarks, note taking and highlighting while reading quantumclassical analogies the frontiers collection. Jan 08, 2011 read on close relationship between classical timedependent harmonic oscillator andnonrelativistic quantum mechanics inonedimension, international journal of theoretical physics on deepdyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips.
Apr 01, 2011 research highlights in this work we have shown that optical array lattices with specific coupling rules can support classical analogues of quantum nonlinear coherent states. Leaky modes of waveguides as a classical optics analogy of. Classical and quantum distinctions between weak and strong. The book is also useful for researchers working in advanced topics. Quantum classical analogies request pdf researchgate. Feb 06, 2015 there are at least three different notions of degrees of freedom df that are important in comparison of quantum and classical dynamical systems. Mircea dragoman, daniela dragoman this book is dedicated to the new twodimensional oneatomiclayerthick materials such as graphene, metallic chalcogenides, silicene and other 2d materials. Download it once and read it on your kindle device, pc, phones or tablets. For closed quantum systems driven away from equilibrium, work is often defined in terms of projective measurements of initial and final energies. Indeed, although both approaches are formally equivalent, only the heisenberg approach to quantum mechanics has any similarity with classical mechanics. The seebeck coefficient in this device attains 30 mv. In this paper, definitions and comparison in classical and quantum.
This barrier is the analog of a metamaterial for electromagnetic waves in media with negative. A classical optics waveguide structure is proposed to simulate resonances of short range onedimensional potentials in quantum mechanics. In the literature, these regimes are referred to as landauzenerstuckelbergmajorana lzsm interferometry. Analogy between quantum and classical mechanics syntax of mathematical language of quantum mechanics in section 21, dirac defines the quantum poisson bracket pb, which is the commutator ihu, v uv vu, and which is the key to his symbolic version of quantum mechanics. In 1905, albert einstein presented the hypothesis that the photoelectric effect could be explained if a beam of light was composed of a stream of discrete particles, each with an energy e hf the energy e of each photon being equal to the frequency f multiplied by plancks constant h. Analogy between quantum and classical mechanics syntax of. Dragoman d and dragoman m 2014 quantumclassical analogies the frontiers collection berlin. The analogy between classical and quantum phenomena is an intriguing and. Double electromagnetically induced transparency deit in a fourlevel atomic system with tripodtype energylevel configuration is modeled by using two classical systems.
This book sets out, for the first time, a complete overview of both classical and quantum information theory. Jul 21, 2015 for closed quantum systems driven away from equilibrium, work is often defined in terms of projective measurements of initial and final energies. Scattering and localization of classical waves in random. The issue of analogies between classical optics and quantum mechanics is. It elucidates the problem of quantumclassical correspondence by developing a procedure for quantizing stochastic systems e.
Read on close relationship between classical timedependent harmonic oscillator andnonrelativistic quantum mechanics inonedimension, international journal of theoretical physics on deepdyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips. Beyond the conceptual differences, quantum and classical physics. The problem was solved analytically using operator algebra. Analogies between quantum prokofiev piano concerto 2 full score pdf and classical computing prof. Springer 3 novotny l 2010 strong coupling, energy splitting, and level crossings. Classical analogs of double electromagnetically induced. Osa optical spinsensitive zitterbewegung in bianisotropic. May 31, 2007 this article presents a metamaterial for ballistic electrons, which consists of a quantum barrier formed in a semiconductor with negative effective electron mass. K, this value being among the largest reported ever. Quantumclassical analogies the frontiers collection kindle edition by daniela dragoman, mircea dragoman.
There are at least three different notions of degrees of freedom df that are important in comparison of quantum and classical dynamical systems. Niels bohr correctly insisted that classical physics plays an essential role in quantum mechanics. Simulating quantum dynamical phenomena using classical. This definition leads to statistical distributions of work that satisfy nonequilibrium work and fluctuation relations. The main role of quantum classical analogies presented in ten distinct chapters is to shed some light on the genuine significance of the quantum and classical worlds. From c numbers to q numbers the classical analogy in the history of quantum theory pdf. We present a theoretical analysis on optical spinsensitive zitterbewegung zb in metamaterials. Classical analogy of a cat state using vortex light communications. The logical consistency of the scheme is then verified by taking the classical limit of the equations of motion and corresponding physical quantities. Download quantumclassical analogies the frontiers collection pdf by mircea dragoman download race, ethnicity, crime, and justice. The book describes their main physical properties and applications. This article presents a metamaterial for ballistic electrons, which consists of a quantum barrier formed in a semiconductor with negative effective electron mass. This barrier is the analog of a metamaterial for electromagnetic waves in media with negative electrical permittivity and magnetic permeability. Zeh the books in this collection are devoted to challenging and open problems at the.
Quantumclassical analogies dragoman, mircea, dragoman, daniela it is unanimously accepted that the quantum and the classical descriptions of the physical reality are very different, although any quantum process is mysteriously transformed through measurement into an observable classical event. Quantumclassical analogies by daniela dragoman, 9783642057663, available at book depository with free delivery worldwide. Wavelike variables of a classical particle and their connections to. Request pdf quantum classical analogies the issue of analogies. Download pdf introduction schrodingers cat, a famous gedankenexperiment, devised by erwin schrodinger in 1935 1, 2, presents an unfortunate cat being both dead and alive inside a sealed box. His correspondence principle allowed him to recover some important physical constants by assuming that the discontinuous quantum jumps for low quantum numbers low orbits in his old quantum theory model converged in the limit of large quantum numbers to the continuous radiation emission and. In this sense a letter xchosen from the ensemble carries, on the average, hx bits of. This option allows users to search by publication, volume and page selecting this option will search the current publication in context. Obtain this time scale, given the mass of the environment particles m.
Information theory lies at the heart of modern technology, underpinning all communications, networking, and data storage systems. Sep 30, 2014 coherent control of a quantum mechanical twolevel system is at the heart of magnetic resonance imaging, quantum information processing, and quantum optics. It elucidates the problem of quantum classical correspondence by developing a procedure for quantizing stochastic systems e. The book addresses a large category of readers, especially graduates and phd students. In this paper, we give a brief overview of the progress achieved so far in the field of electronic gooshanchen shifts, and show the relevant optical analogies. Research highlights in this work we have shown that optical array lattices with specific coupling rules can support classical analogues of quantum nonlinear coherent states. Aug 15, 2018 a quantum system can be driven by either sinusoidal, rectangular, or noisy signals.
Quantumclassical analogies daniela dragoman springer. While this twopoint measurement definition of quantum work can be justified heuristically by appeal to the first law of. In very general terms, the basic problem that both classical newtonian mechanics and quantum mechanics seek to address can be stated very simply. Coherent control of a quantum mechanical twolevel system is at the heart of magnetic resonance imaging, quantum information processing, and quantum optics. Adopting a block code that assigns integers to the typical sequences, the information in a string of nletters can be compressed to hx bits. A close analogue of the developed analytical results with these of.
One is related to the type of dynamical equations and inequivalent initial conditions, the other to the structure of the system and the third to the properties of dynamical orbits. The acs provides a reliable tool for visualizing and studying the behaviors of quantum cat states in phase space. The paper predicts a giant thermoelectric coefficient in a nanostructure consisting of metallic electrodes periodically patterned over graphene, which is deposited on a silicon dioxide substrate. This paper describes a novel approach to emulate a universal quantum computer with a wholly classical system, one that uses a signal of bounded duration and amplitude to represent an arbitrary quan. Brownian systems described by fokkerplanck equations. The first is a set of three coupled harmonic oscillators subject to frictional forces and external drives and the second is a set of three coupled rlc circuits with electric.
Classical analogy of a cat state using vortex light. Classical emulation of a quantum computer international. Gabbidon pdf download rattlin the reefer annotated book edward howard. Quantumclassical analogies have been used in recent years to study many quantum laws or phenomena at the macroscopic scale, to design and simulate mesoscopic devices at the macroscopic scale, to implement quantum computer algorithms with classical means, etc. Use features like bookmarks, note taking and highlighting while reading quantumclassical analogies the. Throughout, the reader is introduced to key results without becoming lost in mathematical details. This book is dedicated to the new twodimensional oneatomiclayerthick materials such as graphene, metallic chalcogenides, silicene and other 2d materials. The analogies between phenomena occurring in two different physical systems open a route to find new effects or to translate solution on techniques or devices, and quite often help to understand. Although quantum and classical physics are founded on very different principles, similarities between quantum and classical phenom. Click download or read online button to get scattering and localization of classical waves in random media book now. Quantum information theory is the shannon entropy or simply entropy of the ensemble x x,px. By developing some formulas about the dispersions and eigenstates of optical modes we show that spinsensitive zb can be obtained in a bianisotropic metamaterial with a proper coupling between the electric and magnetic responses. Osa generating laser transverse modes analogous to quantum. Classical analogues to quantum nonlinear coherent states in.
The analogy is based on the wellknown resemblance between the guided and radiation modes of a waveguide with the bound and scattering states of a quantum well. By using a nearly hemispherical resonator and a tight focusing in the endpumped solidstate laser, we successfully generated various laser transverse modes analogous to quantum. Quantum classical analogies the frontiers collection by daniela dragoman mircea dragoman. Nov 16, 2007 the paper predicts a giant thermoelectric coefficient in a nanostructure consisting of metallic electrodes periodically patterned over graphene, which is deposited on a silicon dioxide substrate. A quantum system can be driven by either sinusoidal, rectangular, or noisy signals. This is the first book on the subject of quantum classical analogies. The book describes their main physical properties and applications in nanoelctronics, photonics, sensing and computing.