Thermodynamics of quadrature trajectories in open quantum systems

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 86, Issue 6, 2012, Pages

  Hickey, James M ^a   Genway, Sam ^a   Lesanovsky, Igor ^a   Garrahan, Juan P ^a  

^a UNIVERSITY OF NOTTINGHAM   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DRIVEN SYSTEM; DYNAMICAL PHASIS; HOMODYNE DETECTION; MICROMASERS; OPEN QUANTUM SYSTEMS; ORDER PARAMETER; QUANTUM JUMPS; THREE LEVEL SYSTEMS; TWO-LEVEL SYSTEM;

QUANTUM ELECTRONICS; QUANTUM OPTICS; THERMODYNAMICS;

TRAJECTORIES;

EID: 84871581429     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.86.063824     Document Type: Article

References (42)

1. C. Gerry and P. Knight, Introductory Quantum Optics (Cambridge University Press, Cambridge, 2005).
2. G. D'Ariano, M. Paris, and M. Sacchi, in Quantum State Estimation, Vol. 649 of Lecture Notes in Physics, edited by, M. Paris, and, J. Reh¡cek, (Springer, Berlin/Heidelberg, 2004), pp. 189-204.
3. C. Gardiner and P. Zoller, Quantum Noise: A Handbook Of Markovian and Non-Markovian Quantum Stochastic Methods with Applications to Quantum Optics, Springer Series in Synergetics (Springer, New York, 2004).
4. J. P. Garrahan and I. Lesanovsky, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.160601 104, 160601 (2010).
5. J. P. Garrahan, A. D. Armour, and I. Lesanovsky, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.84.021115 84, 021115 (2011).
6. C. Ates, B. Olmos, J. P. Garrahan, and I. Lesanovsky, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.85.043620 85, 043620 (2012).
7. S. Genway, J. P. Garrahan, I. Lesanovsky, and A. D. Armour, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.85.051122 85, 051122 (2012).
8. A. A. Budini, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.84.011141 84, 011141 (2011).
9. S. Garnerone, Phys. Rev. A 1050-2947 10.1103/PhysRevA.86.032342 86, 032342 (2012).
10. J. Li, Y. Liu, J. Ping, S.-S. Li, X.-Q. Li, and Y. J. Yan, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.115319 84, 115319 (2011).
11. J. P. Garrahan, R. L. Jack, V. Lecomte, E. Pitard, K. van Duijvendijk, and F. van Wijland, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.98. 195702 98, 195702 (2007). (Pubitemid 47139480)
12. L. O. Hedges, R. L. Jack, J. P. Garrahan, and D. Chandler, Science SCIEAS 0036-8075 10.1126/science.1166665 323, 1309 (2009).
13. E. Pitard, V. Lecomte, and F. van Wijland, Europhys. Lett. EULEEJ 0295-5075 10.1209/0295-5075/96/56002 96, 56002 (2011).
14. T. Speck and D. Chandler, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.4712026 136, 184509 (2012).
15. T. Bodineau and C. Toninelli, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/s00220-012-1449-4 311, 357 (2012).
16. D. Ruelle, Thermodynamic Formalism: The Mathematical Structure of Equilibrium Statistical Mechanics, Cambridge Mathematical Library (Cambridge University Press, Cambridge, 2004).
17. M. Merolle, J. P. Garrahan, and D. Chandler, Proc. Natl. Acad. Sci. USA 0027-8424 10.1073/pnas.0504820102 102, 10837 (2005). (Pubitemid 41105953)
18. V. Lecomte, C. Appert-Rolland, and F. van Wijland, J. Stat. Phys. 0022-4715 10.1007/s10955-006-9254-0 127, 51 (2007).
19. M. Scully and M. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, 1997).
20. H. Walther, B. T. H. Varcoe, B.-G. Englert, and T. Becker, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/69/5/R02 69, 1325 (2006).
21. S. Haroche and J. Raimond, Exploring the Quantum: Atoms, Cavities and Photons, Oxford graduate texts in mathematics (Oxford University Press, Oxford, 2006).
22. G. A. Álvarez, E. P. Danieli, P. R. Levstein, and H. M. Pastawski, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.82.012310 82, 012310 (2010).
23. G. Aquino, M. Bologna, B. J. West, and P. Grigolini, Phys. Rev. E PLEEE8 1539-3755 10.1103/PhysRevE.83.051130 83, 051130 (2011).
24. P. I. Hurtado and P. L. Garrido, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.180601 107, 180601 (2011).
25. P. J. Coles, V. Gheorghiu, and R. B. Griffiths, Phys. Rev. A 1050-2947 10.1103/PhysRevA.86.042111 86, 042111 (2012).
26. L. S. Levitov, H. Lee, and G. B. Lesovik, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.531672 37, 4845 (1996).
27. Y. V. Nazarov and North Atlantic Treaty Organization. Scientific Affairs Division, in Quantum Noise in Mesoscopic Physics, NATO Science Series: Mathematics, Physics and Chemistry (Springer-Verlag, GmbH, Dordrecht, Netherlands, 2003).
28. M. Esposito, U. Harbola and S. Mukamel, Rev. Mod. Phys. 0034-6861 10.1103/RevModPhys.81.1665 81, 1665 (2009).
29. C. Flindt, T. Novotny, A. Braggio, M. Sassetti and A. P. Jauho, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.100.150601 100, 150601 (2008). (Pubitemid 351561913)
30. C. Catana, M. van Horssen, and M. Guta, Phil. Trans. R. Soc. A 1364-503X 10.1098/rsta.2011.0528 370, 5308 (2012).
31. H. Touchette, Phys. Rep. PRPLCM 0370-1573 10.1016/j.physrep.2009.05.002 478, 1 (2009).
32. V. Lecomte, C. Appert-Rolland, and F. van Wijland, J. Stat. Phys. JSTPBS 0022-4715 10.1007/s10955-006-9254-0 127, 51 (2007).
33. However, the formalism readily extends to consider thermal and squeezed states.
34. V. Gorini and A. Kossakowski, J. Math. Phys. JMAPAQ 0022-2488 10.1063/1.523057 17, 1298 (1976).
35. G. Lindblad, Commun. Math. Phys. CMPHAY 0010-3616 10.1007/BF01608499 48, 119 (1976).
36. J. P. Eckmann and D. Ruelle, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.57.617 57, 617 (1985).
37. M. B. Plenio and P. L. Knight, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.70.101 70, 101 (1998). (Pubitemid 128022010)
38. E. Barkai, Y. Jung, and R. Silbey, Annu. Rev. Phys. Chem. ARPLAP 0066-426X 10.1146/annurev.physchem.55.111803.143246 55, 457 (2004).
39. P. Filipowicz, J. Javanainen, and P. Meystre, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.34.3077 34, 3077 (1986).
40. M. Revzen, EPL 0295-5075 10.1209/0295-5075/98/10001 98, 10001 (2012).
41. R. B. Lehoucq, D. C. Sorensen, and C. Yang, Arpack User's Guide: Solution of Large-Scale Eigenvalue Problems With Implicitly Restorted Arnoldi Methods, Software, Environments, Tools (SIAM, Philadelphia, PA, 1998).
42. HSL (2011). A collection of Fortran codes for large scale scientific computation. http://www.hsl.rl.ac.uk.