Quantum classical analogies request pdf researchgate. Simulating quantum dynamical phenomena using classical. Quantumclassical analogies by daniela dragoman, 9783642057663, available at book depository with free delivery worldwide. In fact, in any textbook of quantum mechanics one can easily nd a section where the solution of this problem is explained see, e. 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. Download understanding nutrition pdf by ellie whitney, sharon rady rolfes. We present a unified theory for different kinds of light beams exhibiting classical entanglement and we indicate several possible extensions of the concept. The seebeck coefficient in this device attains 30 mv. Quantum analogies to polarization states of light lead to the development of one of the first spintronic device. 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. 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.
Download quantumclassical analogies the frontiers collection pdf by mircea dragoman. More recently, this approach has been extended to nonhermitian scenarios characterized by spatiallymodulated distributions of optical loss and gain, in. This cited by count includes citations to the following articles in scholar. More precisely, we demonstrate that the particular form of the transmission. According to the general wisdom there shouldnt be any problem with the classical limit of quantum mechanics. However, the condition defining the boundary between weak and strong coupling is distinct in classical and quantum formalisms. Classical analogues to quantum nonlinear coherent states. The ones marked may be different from the article in the profile. From c numbers to q numbers the classical analogy in the history of quantum theory pdf. Dragoman knowledgeandtheworld challengesbeyondthe science wars editedby m. The quantum classical boundary is pushed all the way towards the observer, right against the border between the material universe and the consciousness, leaving it at a very uncomfortable place to do physics. 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. 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. 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.
Our results shed new light upon the physics at the debated border between the classical and the quantum representations. Download understanding nutrition pdf by ellie whitney. Among the most prominent phenomena in quantum coherent control are rabi oscillations, ramsey fringes, and hahn echoes. Scattering and localization of classical waves in random. We show that light evolution occurring in waveguide arrays with a particular nfunctional square root dependence of coupling coefficients can be used to produce classical analogues of nonlinear quantum coherent states. Use features like bookmarks, note taking and highlighting while reading quantumclassical analogies the. A close analogue of the developed analytical results with these of. Classical analogy of a cat state using vortex light. A new family of classical analogies article in foundations of physics 418. The calculations are based on a transfer matrix approach that takes a particular form for. The issue of analogies between classical optics and quantum mechanics is.
In very general terms, the basic problem that both classical newtonian mechanics and quantum mechanics seek to address can be stated very simply. Negative differential resistance of electrons in graphene. Read quantumclassical analogies the frontiers collection by daniela dragoman, mircea dragoman for online ebook. Analogy between quantum and classical mechanics syntax. On close relationship between classical timedependent. 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. New post fulltext search for articles, highlighting downloaded books, view pdf in a browser and download history correction in our blog.
Sorry, we are unable to provide the full text but you may find it at the following locations. The quantum to classical transition is then when h m becomes small. Leaky modes of waveguides as a classical optics analogy of. Coherent control of a quantum mechanical twolevel system is at the heart of magnetic resonance imaging, quantum information processing, and quantum optics. Principles and devices 1 st edition in 2006 and 2 nd. The graphene is a native twodimensional crystal material consisting of a single sheet of carbon atoms. Buy quantumclassical analogies the frontiers collection on. Quantumclassical analogies the frontiers collection. Dedicated to professor apolodor aristotel radutas 70th. Click download or read online button to get scattering and localization of classical waves in random media book now. Quantumclassical analogies the frontiers collection kindle edition by daniela dragoman, mircea dragoman. Daniela dragoman, mircea dragoman quantumclassical analogies. Dragoman quantum classical analogies, springer,400 pages 2004 m. Quantum classical analogies pdf acoustic analogies for quantum mechanics prof.
Dedicated to professor apolodor aristotel radutas 70th anniversary on the quantumclassical analogies d. As resonances are scattering states that spend some time in the zone of influence of. Here, we experimentally demonstrate bics in a fundamentally new photonic architecture by patterning a lowrefractive. Despite recent discoveries of bics in nanophotonics, full routing and control of bics have not yet been explored. The analogy of the momentum operator definition in quantum mechanics and wave optics in the. We can generalize this mapping to study correlation functions in a classical system the leading largesti eigenvalue of the transfer matrix do gives the free energy density. Mircea dragoman is a senior researcher i at the national research institute in microtechnologies, since 1996.
Quantumclassical analogies daniela dragoman springer. Supersymmetryinspired nonhermitian optical couplers. A read is counted each time someone views a publication summary such as the title, abstract, and list of authors, clicks on a figure, or views or downloads the fulltext. Relations between different notions of degrees of freedom. Quantumclassical analogies the frontiers collection daniela dragoman, mircea dragoman 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.
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 alone determines. The classical bloch equations american journal of physics 82, 947. A similar limit can be seen by analogy with optics. A classical optics waveguide structure is proposed to simulate resonances of short range onedimensional potentials in quantum mechanics. Mircea dragoman at national institute for research and development in. As a result, a graphene barrier behaves very differently compared to a common semiconductor barrier.
Quantumclassical phase space analogies springerlink. Download it once and read it on your kindle device, pc, phones or tablets. Classical and quantum distinctions between weak and strong coupling. Quantum mechanics with curved photonic structures stefano longhi1. This situation is not relevant for studying quantumclassical analogies, so we impose instead the condition tpol ditgr, figure 2. Propagation angle solutions in graphene analogous to light propagation in isotropic, gyrotropic and electrooptic materials. This is the first book on the subject of quantumclassical analogies. We demonstrate that these phenomena can be derived classically by use of a simple coupledharmonic. In 1922, american physicist william duane presented a discrete momentumexchange model of the reflection of xray photons by a crystal lattice. Presently, he is the scientific director of this leading research.
The phase space is a space endowed with a tensor, which gives it the geometric structure, is called a symplectic form, and a realvalued function on this space called the hamiltonian. We show that the quantum chirality of charge carriers in graphene can be mimicked in optical structures. 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. Double electromagnetically induced transparency deit in a fourlevel atomic system with tripodtype energylevel configuration is modeled by using two classical systems. K, this value being among the largest reported ever. Osa photonic integrated circuits with bound states in. 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. Analogies between quantum and classical computing prof. 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. Wavelike variables of a classical particle and their connections to.
Analogies between quantum prokofiev piano concerto 2 full score pdf and classical computing prof. Classical and quantum distinctions between weak and strong. 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. When the wavelength of light is large compared to the dimensions of the system, wave optics must be used and diffraction effects become important. Dragoman, quantumclassical analogies springer, berlin, 2004. Classical emulation of a quantum computer international. Dragoman d and dragoman m 2014 quantumclassical analogies the frontiers. Et4 you can easily show this in the ld classical ising model if you took. The quantum to classical transition information philosopher.
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. M dragoman, k grenier, d dubuc, l bary, e fourn, r. 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. Read relations between different notions of degrees of freedom of a quantum system and its classical model, foundations of physics on deepdyve, the largest online rental service for scholarly research with thousands of academic publications available at your fingertips. Quantumclassical analogies in apparently unrelated. Quantumclassical analogies the frontiers collection by daniela dragoman, mircea dragoman free pdf d0wnl0ad, audio books, books to read, good books to read, cheap books, good books, online books, books. Dragoman d and dragoman m 2004 quantumclassical analogies berlin. Request pdf quantum classical analogies the issue of analogies between. We present a theoretical analysis on optical spinsensitive zitterbewegung zb in metamaterials. Using operator algebras we obtain closedform expressions describing the optical field dynamics in such structures. Classical analogs of double electromagnetically induced. The book addresses a large category of readers, especially graduates and phd students. Although quantum and classical physics are founded on very different principles, similarities between quantum and classical phenomena are not uncommon.
1454 966 1176 665 568 1471 1457 704 282 1118 1460 1346 494 288 154 1131 1378 570 1376 48 1506 1528 1584 350 335 1186 567 332 409 848 635 724 1489 802 1479 599 1082 1025