Towards quantum superpositions of a mirror: An exact open systems analysis

Physical Review Letters

Volumn 94, Issue 3, 2005, Pages

  Bassi, Angelo ^a,b   Ippoliti, Emiliano ^b,c   Adler, Stephen L ^d  

^a ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS   (Italy)

^b SEZIONE DI TRIESTE   (Italy)

^c UNIVERSITY OF TRIESTE   (Italy)

^d INSTITUTE FOR ADVANCED STUDY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FULL DENSITY MATRIX; OPEN SYSTEMS ANALYSIS; QUANTUM SUPERPOSITIONS; WAVE FUNCTIONS;

DATA ACQUISITION; HAMILTONIANS; LARGE SCALE SYSTEMS; MATHEMATICAL MODELS; MATRIX ALGEBRA; OPEN SYSTEMS; PHOTONS; PROBLEM SOLVING;

MIRRORS;

EID: 18044367721     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.94.030401     Document Type: Article

References (28)

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9. The Hamiltonian for a moving mirror interacting with an electromagnetic field in a cavity has been studied by C. K. Law, Phys. Rev. A 49, 433 (1994); Phys. Rev. A 51, 2537 (1995); S. Mancini, V. I. Man'ko, and P. Tombesi, Phys. Rev. A 55, 3042 (1997), see also references therein. The idea of using a moving mirror in a cavity to create "macroscopic" superpositions was first put forward by S. Bose, K. Jacobs, and P.L. Knight, Phys. Rev. A 59, 3204 (1999). Ref. [3] contains the first proposal of an interferometric setup involving a moving mirror, with the purpose of testing macroscopic superpositions.
10. The Hamiltonian for a moving mirror interacting with an electromagnetic field in a cavity has been studied by C. K. Law, Phys. Rev. A 49, 433 (1994); Phys. Rev. A 51, 2537 (1995); S. Mancini, V. I. Man'ko, and P. Tombesi, Phys. Rev. A 55, 3042 (1997), see also references therein. The idea of using a moving mirror in a cavity to create "macroscopic" superpositions was first put forward by S. Bose, K. Jacobs, and P.L. Knight, Phys. Rev. A 59, 3204 (1999). Ref. [3] contains the first proposal of an interferometric setup involving a moving mirror, with the purpose of testing macroscopic superpositions.
11. The Hamiltonian for a moving mirror interacting with an electromagnetic field in a cavity has been studied by C. K. Law, Phys. Rev. A 49, 433 (1994); Phys. Rev. A 51, 2537 (1995); S. Mancini, V. I. Man'ko, and P. Tombesi, Phys. Rev. A 55, 3042 (1997), see also references therein. The idea of using a moving mirror in a cavity to create "macroscopic" superpositions was first put forward by S. Bose, K. Jacobs, and P.L. Knight, Phys. Rev. A 59, 3204 (1999). Ref. [3] contains the first proposal of an interferometric setup involving a moving mirror, with the purpose of testing macroscopic superpositions.
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15. The first consistent model of wave function collapse was developed by G. C. Ghirardi, A. Rimini, and T. Weber, Phys. Rev. D 34, 470 (1986), and is known as the GRW or QMSL model. A continuous stochastic version of this model, which also generalizes it to systems of identical particles, has been developed by P. Pearle, Phys. Rev. A 39, 2277 (1989), and G.C. Ghirardi, P. Pearle, and A. Rimini, Phys. Rev. A 42, 78 (1990), and is known as the CSL model. A simpler continuous stochastic model for distinguishable particles QMUPL has been proposed by L. Diósi, Phys. Rev. A 40, 1165 (1989), and studied in detail by A. Bassi, quant-ph/0410222 (see also references therein). For recent reviews of these and related models, and surveys of the literature, including references to seminal papers by Diósi, Gisin, and Percival, see A. Bassi and G.C. Ghirardi, Phys. Rep. 379, 257 (2003); and also S. L. Adler [7], Chap. 6.
16. The first consistent model of wave function collapse was developed by G. C. Ghirardi, A. Rimini, and T. Weber, Phys. Rev. D 34, 470 (1986), and is known as the GRW or QMSL model. A continuous stochastic version of this model, which also generalizes it to systems of identical particles, has been developed by P. Pearle, Phys. Rev. A 39, 2277 (1989), and G.C. Ghirardi, P. Pearle, and A. Rimini, Phys. Rev. A 42, 78 (1990), and is known as the CSL model. A simpler continuous stochastic model for distinguishable particles QMUPL has been proposed by L. Diósi, Phys. Rev. A 40, 1165 (1989), and studied in detail by A. Bassi, quant-ph/0410222 (see also references therein). For recent reviews of these and related models, and surveys of the literature, including references to seminal papers by Diósi, Gisin, and Percival, see A. Bassi and G.C. Ghirardi, Phys. Rep. 379, 257 (2003); and also S. L. Adler [7], Chap. 6.
17. The first consistent model of wave function collapse was developed by G. C. Ghirardi, A. Rimini, and T. Weber, Phys. Rev. D 34, 470 (1986), and is known as the GRW or QMSL model. A continuous stochastic version of this model, which also generalizes it to systems of identical particles, has been developed by P. Pearle, Phys. Rev. A 39, 2277 (1989), and G.C. Ghirardi, P. Pearle, and A. Rimini, Phys. Rev. A 42, 78 (1990), and is known as the CSL model. A simpler continuous stochastic model for distinguishable particles QMUPL has been proposed by L. Diósi, Phys. Rev. A 40, 1165 (1989), and studied in detail by A. Bassi, quant-ph/0410222 (see also references therein). For recent reviews of these and related models, and surveys of the literature, including references to seminal papers by Diósi, Gisin, and Percival, see A. Bassi and G.C. Ghirardi, Phys. Rep. 379, 257 (2003); and also S. L. Adler [7], Chap. 6.
18. The first consistent model of wave function collapse was developed by G. C. Ghirardi, A. Rimini, and T. Weber, Phys. Rev. D 34, 470 (1986), and is known as the GRW or QMSL model. A continuous stochastic version of this model, which also generalizes it to systems of identical particles, has been developed by P. Pearle, Phys. Rev. A 39, 2277 (1989), and G.C. Ghirardi, P. Pearle, and A. Rimini, Phys. Rev. A 42, 78 (1990), and is known as the CSL model. A simpler continuous stochastic model for distinguishable particles QMUPL has been proposed by L. Diósi, Phys. Rev. A 40, 1165 (1989), and studied in detail by A. Bassi, quant-ph/0410222 (see also references therein). For recent reviews of these and related models, and surveys of the literature, including references to seminal papers by Diósi, Gisin, and Percival, see A. Bassi and G.C. Ghirardi, Phys. Rep. 379, 257 (2003); and also S. L. Adler [7], Chap. 6.
19. The first consistent model of wave function collapse was developed by G. C. Ghirardi, A. Rimini, and T. Weber, Phys. Rev. D 34, 470 (1986), and is known as the GRW or QMSL model. A continuous stochastic version of this model, which also generalizes it to systems of identical particles, has been developed by P. Pearle, Phys. Rev. A 39, 2277 (1989), and G.C. Ghirardi, P. Pearle, and A. Rimini, Phys. Rev. A 42, 78 (1990), and is known as the CSL model. A simpler continuous stochastic model for distinguishable particles QMUPL has been proposed by L. Diósi, Phys. Rev. A 40, 1165 (1989), and studied in detail by A. Bassi, quant-ph/0410222 (see also references therein). For recent reviews of these and related models, and surveys of the literature, including references to seminal papers by Diósi, Gisin, and Percival, see A. Bassi and G.C. Ghirardi, Phys. Rep. 379, 257 (2003); and also S. L. Adler [7], Chap. 6.
20. The first consistent model of wave function collapse was developed by G. C. Ghirardi, A. Rimini, and T. Weber, Phys. Rev. D 34, 470 (1986), and is known as the GRW or QMSL model. A continuous stochastic version of this model, which also generalizes it to systems of identical particles, has been developed by P. Pearle, Phys. Rev. A 39, 2277 (1989), and G.C. Ghirardi, P. Pearle, and A. Rimini, Phys. Rev. A 42, 78 (1990), and is known as the CSL model. A simpler continuous stochastic model for distinguishable particles QMUPL has been proposed by L. Diósi, Phys. Rev. A 40, 1165 (1989), and studied in detail by A. Bassi, quant-ph/0410222 (see also references therein). For recent reviews of these and related models, and surveys of the literature, including references to seminal papers by Diósi, Gisin, and Percival, see A. Bassi and G.C. Ghirardi, Phys. Rep. 379, 257 (2003); and also S. L. Adler [7], Chap. 6.
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28. Subsequent to the derivation of Eq. (14) by A. B. and E. I., we learned from a conference talk attended by S. A. that Dr. Ashok Puri and collaborators are also studying decoherence effects on the Marshall et al. experiment. We do not have the details needed to compare their method with ours.