Niels bohr correctly insisted that classical physics plays an essential role in quantum mechanics. It then becomes superpoissonian for the rest of the interval. Throughout this chapter we refer mainly to the spatial phase space r, p. Owing to the similarity between the schrodinger and the paraxial helmholtz equations. Aug 15, 2018 besides being fundamentally interesting, such approach of finding classical quantum analogies is attractive for the classical analogue simulation of quantum systems e. K, this value being among the largest reported ever. Sorry, we are unable to provide the full text but you may find it at the following locations. More precisely, we demonstrate that the particular form of the transmission.
This situation is not relevant for studying quantumclassical analogies, so we impose instead the condition tpol ditgr, figure 2. 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. Lets start with a transverse field quantum ising model in d space dimensions hj. Dragoman quantum classical analogies, springer,400 pages 2004 m. The analogy of the momentum operator definition in quantum mechanics and wave optics in the. A simple mathematical formulation of the correspondence principle. The seebeck coefficient in this device attains 30 mv.
From c numbers to q numbers the classical analogy in the history of quantum theory pdf. 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. We report on the first experimental demonstration of light transfer in an engineered triplewell optical waveguide structure which provides a classic analogue of coherent tunnelling by adiabatic passage ctap recently proposed for coherent transport in space of neutral atoms or electrons among tunnelingcoupled optical traps or quantum wells a. Alongside the development of quantum algorithms and quantum complexity. The analogies between optical and electronic gooshanchen effects are established based on electron wave optics in semiconductor or graphenebased nanostructures. Quantum analogies to polarization states of light lead to the development of one of the first spintronic device. Contents 1 introduction 1 2 analogies between ballistic electrons and electromagnetic waves 9 2. 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. We show that the quantum chirality of charge carriers in graphene can be mimicked in optical structures. 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. Dedicated to professor apolodor aristotel radutas 70th. 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.
Supersymmetry has been shown to provide a systematic and effective framework for generating classes of isospectral optical structures featuring perfectlyphasematched modes, with the exception of one fundamental mode which can be removed. 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. Indeed, many significant advances have been made in discovering suitable analogies of quantum phenomena 30,31,32,33 using classical waves. In order to study the classical analogy of quantum teleportation, the. On the analogy between classical and quantum mechanics. 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. Download quantumclassical analogies the frontiers collection pdf by mircea dragoman download race, ethnicity, crime, and justice. Tunable fractional fourier transform implementation of.
Dragoman knowledgeandtheworld challengesbeyondthe science wars editedby m. Kop quantumclassical analogies av daniela dragoman, mircea dragoman pa. Our results shed new light upon the physics at the debated border between the classical and the quantum representations. 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 quantum state. M dragoman, k grenier, d dubuc, l bary, e fourn, r plana, e flahaut. The quantum pb is supposed to be an analogy to classical pb, but i. Duane showed that such a model gives the same scattering angles as the ones calculated via a wave diffraction model, see braggs law the key feature of duanes hypothesis is that a simple quantum rule based on the lattice structure.
Although quantum and classical physics are founded on very different principles, similarities between quantum and. More recently, this approach has been extended to nonhermitian scenarios characterized by spatiallymodulated distributions. The book is also useful for researchers working in advanced topics. Quantumclassical analogies the frontiers collection kindle edition by daniela dragoman, mircea dragoman. As resonances are scattering states that spend some time. However, in many situations, only the evolution in the temporal phase space t, w is of interest. Quantumclassical analogies daniela dragoman, mircea. Among the most prominent phenomena in quantum coherent control are rabi oscillations, ramsey fringes, and hahn echoes. Leaky modes of waveguides as a classical optics analogy of. Analogy between quantum and classical mechanics syntax. Propagation angle solutions in graphene analogous to light propagation in isotropic, gyrotropic and electrooptic materials when no electronhole state transformation occurs solid red line. In this paper we suggest a simple mathematical procedure to derive the classical probability density of quantum systems via bohrs correspondence principle.
We would like to emphasize once again that the field configurations resulting from this optical lattice are in fact classical in. While the motion of a classical particle bounded to a surface depends only on the local curvature, the dynamics of a quantum particle depends also on the mean surface curvature. Quantum classical analogies request pdf researchgate. Gabbidon pdf download rattlin the reefer annotated book edward howard. Classical analogs of double electromagnetically induced.
This cited by count includes citations to the following articles in scholar. The book addresses a large category of readers, especially graduates and phd students. M dragoman, k grenier, d dubuc, l bary, e fourn, r. Classical emulation of a quantum computer international.
Classical analogues to quantum nonlinear coherent states in. 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. Use features like bookmarks, note taking and highlighting while reading quantumclassical analogies the frontiers collection. Analogies between quantum prokofiev piano concerto 2 full score pdf and classical computing prof. Here, we experimentally demonstrate bics in a fundamentally new photonic architecture by. 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. Propagation angle solutions in graphene analogous to light propagation in isotropic, gyrotropic and electrooptic materials. Buy quantumclassical analogies the frontiers collection on. Osa photonic integrated circuits with bound states in. Besides being fundamentally interesting, such approach of finding classicalquantum analogies is attractive for the classical analogue simulation of. Quantumclassical analogies the frontiers collection. Coherent tunneling by adiabatic passage in an optical. 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. Our results shed new light upon the physics at the debated border between the classical and the quantum.
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. We can now easily generalize this to any dimension. This is the first book on the subject of quantum classical analogies. Principles and devices 1 st edition in 2006 and 2 nd. We demonstrated that both classical subpoissonian and superpoissonian intensity distributions can be generated over distance depending on the nonlinear. 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. 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. A new family of classical analogies article in foundations of physics 418. Quantumclassical analogies the frontiers collection 2004. Curriculum vitae mircea dragoman is a senior researcher i at the national research institute in microtechnologies, since 1996.
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. Quantum classical 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. Quantumclassical analogies in apparently unrelated. Presently, he is the scientific director of this leading research. A simple mathematical formulation of the correspondence. 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. She coauthored the books advanced optoelectronic devices 1999, optical characterization of solids 2002, quantumclassical analogies 2004 and bionanoelectronics 2012, with an edition in 2014 at china science publishing and media inc. This article presents a metamaterial for ballistic electrons, which consists of a quantum barrier formed in a semiconductor with negative effective electron mass. 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. Request pdf quantum classical analogies the issue of analogies. Supersymmetryinspired nonhermitian optical couplers. Although quantum and classical physics are founded on very different principles, similarities between quantum and classical phenom.
As resonances are scattering states that spend some time in the zone of influence of the. This barrier is the analog of a metamaterial for electromagnetic waves in media with negative electrical permittivity and magnetic permeability. The calculations are based on a transfer matrix approach that takes a. In 1922, american physicist william duane presented a discrete momentumexchange model of the reflection of xray photons by a crystal lattice. This is the first book on the subject of quantumclassical analogies. Quantumclassical analogies daniela dragoman springer. The problem was solved analytically using operator algebra. For timedependent problems a generalized phase space r, t, p, w should be considered, where w is the temporal frequency. Zeh thebooks inthiscollectionaredevoted tochallengingand open problems attheforefront of modern science, including related philosophical debates.
Here, we experimentally demonstrate bics in a fundamentally new photonic architecture by patterning a lowrefractive. We present a unified theory for different kinds of light beams exhibiting classical entanglement and we indicate several possible extensions of the concept. Though seemingly unrelated, classical optics and quantum mechanics exhibit profound formal analogies 1 essentially stemming from the isomorphism between the helmholtz equation governing the vector components of a monochromatic electromagnetic field and the timeindependent schrodinger equation describing the wavefunction of a massive particle. Download it once and read it on your kindle device, pc, phones or tablets. Download quantum classical analogies the frontiers collection pdf by mircea dragoman download race, ethnicity, crime, and justice. Despite recent discoveries of bics in nanophotonics, full routing and control of bics have not yet been explored. She coauthored the books advanced optoelectronic devices 1999, optical characterization of solids 2002, quantum classical analogies 2004 and bionanoelectronics 2012, with an edition in 2014 at china science publishing and media inc.
Scattering and localization of classical waves in random. Although quantum and classical physics are founded on very different principles, similarities between quantum and classical phenomena are not uncommon. Classical analogues to quantum nonlinear coherent states. The appropriateness and limitations of these analogies are discussed. A classical optics waveguide structure is proposed to simulate resonances of short range onedimensional potentials in quantum mechanics. We illustrate the procedure by analyzing the classical limit for. We demonstrate that these phenomena can be derived classically by use of. Quantumclassical analogies by daniela dragoman, 9783642057663, available at book depository with free delivery worldwide. Using fourier expansions for the classical and quantum distributions, we assume that the fourier coefficients coincide for the case of large quantum number. Such analogies have been fruitfully exploited in emerging research areas such as photonic crystals, quantum computing, nanodevices and new forms of light see 1 and references therein. Classical analogy of a cat state using vortex light.
Waves that are perfectly confined in the continuous spectrum of radiating waves without interaction with them are known as bound states in the continuum bics. Thescales land t tell us what are the fundamental units of measure for the. Osa photonic integrated circuits with bound states in the. Coherent control of a quantum mechanical twolevel system is at the heart of magnetic resonance imaging, quantum information processing, and quantum optics. Its influence can be experimentally observed using surface plasmon polaritons spps, which are naturally surfacebounded waves. Quantumclassical phase space analogies springerlink. Double electromagnetically induced transparency deit in a fourlevel atomic system with tripodtype energylevel configuration is modeled by using two classical systems.
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