Emergence of Classicality from Initial Quantum World for Dissipative Optical Waves
Main Article Content
Abstract
For light waves propagating in dissipative media, the emergence of classical characteristics from the initial quantum world is investigated. Two classicality measures of the system, which are the measure of the degree of (relative) classical correlation and that of the degree of quantum decoherence are analyzed.
Downloads
Article Details
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
References
R. Blume-Kohout,W.H. Zurek, Quantum Darwinism: Entanglement, branches, and the emergent classicality of redundantly stored quantum information, Phys. Rev. A 73: 062310, 2006.
S. Lyagushyn, A. Sokolovsky, Description of field states with correlation functions and measurements in quantum optics, in Quantum Optics and Laser Experiments (ed Lyagushyn, S.), Intech, Rijeka, Ch. 1, pp. 3–24, 2012.
J. R. Choi, Coherent and squeezed states for light in homogeneous conducting linear media by an invariant operator method, Int. J. Theor. Phys. 43: 2113–2136, 2004.
J. R. Choi, Nonclassical properties of superpositions of coherent and squeezed states for electromagnetic fields in time-varying media, in Quantum Optics and Laser Experiments (ed Lyagushyn, S.), Intech, Rijeka, Ch. 2, pp. 25–48, 2012.
X.-M. Bei, Z.-Z. Liu, Quantum radiation in timedependent dielectric media, J. Phys. B: At. Mol. Opt. Phys. 44: 205501, 2011.
M. Servin, G. Brodin, Propagation of electromagnetically generated wake fields in inhomogeneous magnetized plasmas, J. Plasma Phys. 67: 339–351, 2002.
A.V. Bosisio, Field estimation through ray-tracing for microwave links. in Electromagnetic Waves Propagation in Complex Matter (ed Kishk, A.) Ch. 7, 187–206 (Intech, Rijeka, 2011).
J. R. Choi, The decay properties of a single-photon in linear media, Chin. J. Phys. 41: 257–266, 2003.
A. L. de Lima, A. Rosas, I.A. Pedrosa, On the quantization of the electromagnetic field in conducting media, J. Mod. Opt. 56: 41–47, 2009.
M. Morikawa, Quantum decoherence and classical correlation in quantum mechanics, Phys. Rev. D 42: 2929–2932, 1990.
J. R. Choi, Approach to the quantum evolution for underdamped, critically damped, and overdamped driven harmonic oscillators using unitary transformation, Rep. Math. Phys. 52: 321–329, 2003.
H. R. Lewis Jr., Classical and quantum systems with time-dependent harmonic-oscillator-type Hamiltonians, Phys. Rev. Lett. 18: 510–512, 1967.
H. R. Lewis Jr., W.B. Riesenfeld, An exact quantum theory of the time-dependent harmonic oscillator and of a charged particle in a time-dependent electromagnetic field, J. Math. Phys. 10: 1458–1473, 1969.
M. Genovese, Interpretations of quantum mechanics and measurement problem, Adv. Sci. Lett. 3: 249–258, 2010.
T. Gornitz, Quantum theory as universal theory of structures essentially from cosmos to consciousness. in Advances in Quantum Theory (ed Cotaescu, I.), Intech, Rijeka, Ch. 1, pp. 3–22, 2012.
J. J. Halliwell, Decoherence in quantum cosmology, Phys. Rev. D 39: 2912–2923, 1989.
M. Genkin, E. Waltersson, E. Lindroth, Estimation of the spatial decoherence time in circular quantum dots, Phys. Rev. B 79: 245310, 2009.
M. Genkin, E. Lindroth, Environmental effects on the phase space dynamics and decoherence time scale of a charged particle in a Penning trap, J. Phys. A: Math. Theor. 42: 385302, 2009.
J. R. Choi, S. Zhang, Thermodynamics of the standard quantum harmonic oscillator of time-dependent frequency with and without inverse quadratic potential, J. Phys. A: Math. Gen. 35: 2845–2855, 2002.
S. Machida, M. Namiki, Theory of measurement of quantum mechanics: mechanism of reduction of wave packet, Prog. Theor. Phys. 63: 1457–1473, 1980.
R. Fukuda, Implications of the proposed theory of measurement, Prog. Theor. Phys. 81: 34–36, 1989.
W. H. Zurek, Environment-induced superselection rules, Phys. Rev. D 26: 1862–1880, 1982.
H. Kubotani, T. Uesugi, M. Morikawa, and A. Sugamoto, Classicalization of quantum fluctuation in inflationary universe, Prog. Theor. Phys. 98: 1063– 1079, 1997.
J. R. Choi and S. Zhang, Quantum and classical correspondence of damped-amplified oscillators, Phys. Scr. 66: 337–341, 2002.
V. Ryzhii, M. Ryzhii, M.S. Shur, V. Mitin, Negative terahertz dynamic conductivity in electrically induced lateral p-i-n junction in graphene, Physica E 42: 719– 721, 2010.
V. Ryzhii, M. Ryzhii, V. Mitin, A. Satou, T. Otsuji, Effect of heating and cooling of photogenerated electron-hole plasma in optically pumped graphene on population inversion, Japanese J. Appl. Phys. 50: 094001, 2011.
D.K. Kalluri, Electromagnetics of Time Varying Complex Media, 2nd edn, CRC Press, Boca Raton, 2010.
J. H. Lee, D.K. Kalluri, Modification of an electromagnetic wave by a time-varying switched magnetoplasma medium: transverse propagation, IEEE Trans. Plasma Sci. 26: 1–6, 1998.