-
1
-
-
12444320554
-
-
Springer, Berlin
-
J. Gemmer, M. Michel, and G. Mahler, Quantum Thermodynamics (Springer, Berlin, 2004), and references therein.
-
(2004)
Quantum Thermodynamics
-
-
Gemmer, J.1
Michel, M.2
Mahler, G.3
-
2
-
-
23844508956
-
-
10.1063/1.2012462;
-
C. Bustamante, J. Liphardt, and F. Ritort, Phys. Today 58 (7), 43 (2005) 10.1063/1.2012462
-
(2005)
Phys. Today
, vol.58
, Issue.7
, pp. 43
-
-
Bustamante, C.1
Liphardt, J.2
Ritort, F.3
-
3
-
-
36049037234
-
-
M. Haw, Phys. World 20 (11), 25 (2007).
-
(2007)
Phys. World
, vol.20
, Issue.11
, pp. 25
-
-
Haw, M.1
-
4
-
-
0037017287
-
-
10.1103/PhysRevLett.88.050602;
-
M. O. Scully, Phys. Rev. Lett. 88, 050602 (2002) 10.1103/PhysRevLett.88. 050602
-
(2002)
Phys. Rev. Lett.
, vol.88
, pp. 050602
-
-
Scully, M.O.1
-
5
-
-
0037423316
-
-
10.1126/science.1078955;
-
M. O. Scully, M. Suhail Zubairy, G. S. Agarwal, and H. Walther, Science 299, 862 (2003) 10.1126/science.1078955
-
(2003)
Science
, vol.299
, pp. 862
-
-
Scully, M.O.1
Suhail Zubairy, M.2
Agarwal, G.S.3
Walther, H.4
-
6
-
-
84883335591
-
-
edited by D. P. Sheehan (AIP, Melville, NY
-
M. O. Scully, in Quantum Limits to the Second Law: First International Conference, edited by, D. P. Sheehan, (AIP, Melville, NY, 2002), pp. 83-91
-
(2002)
Quantum Limits to the Second Law: First International Conference
, pp. 83-91
-
-
Scully, M.O.1
-
7
-
-
33645134600
-
-
edited by D. P. Sheehan (AIP, Melville, NY
-
M. S. Zubairy, in Quantum Limits to the Second Law: First International Conference, edited by, D. P. Sheehan, (AIP, Melville, NY, 2002), pp. 92-97.
-
(2002)
Quantum Limits to the Second Law: First International Conference
, pp. 92-97
-
-
Zubairy, M.S.1
-
13
-
-
33744771952
-
-
10.1088/1367-2630/8/5/083;
-
Y. Rezek and R. Kosloff, New J. Phys. 8, 83 (2006) 10.1088/1367-2630/8/5/ 083
-
(2006)
New J. Phys.
, vol.8
, pp. 83
-
-
Rezek, Y.1
Kosloff, R.2
-
15
-
-
0013054477
-
-
10.1098/rspa.2001.0928;
-
C. M. Bender, D. C. Brody, and B. K. Meister, Proc. R. Soc. London, Ser. A 458, 1519 (2002) 10.1098/rspa.2001.0928
-
(2002)
Proc. R. Soc. London, Ser. A
, vol.458
, pp. 1519
-
-
Bender, C.M.1
Brody, D.C.2
Meister, B.K.3
-
18
-
-
23044527237
-
-
10.1119/1.1371917;
-
M. H. Lee, Am. J. Phys. 69, 874 (2001) 10.1119/1.1371917
-
(2001)
Am. J. Phys.
, vol.69
, pp. 874
-
-
Lee, M.H.1
-
19
-
-
0038445626
-
-
10.1103/PhysRevA.67.053811;
-
Y. V. Rostovtsev, A. B. Matsko, N. Nayak, M. S. Zubairy, and M. O. Scully, Phys. Rev. A 67, 053811 (2003) 10.1103/PhysRevA.67.053811
-
(2003)
Phys. Rev. A
, vol.67
, pp. 053811
-
-
Rostovtsev, Y.V.1
Matsko, A.B.2
Nayak, N.3
Zubairy, M.S.4
Scully, M.O.5
-
20
-
-
0036340494
-
-
10.1002/1521-3978(200205)50:5/7<657::AID-PROP657>3.0.CO;2-#;
-
T. Opatrny and M. O. Scully, Fortschr. Phys. 50, 657 (2002) 10.1002/1521-3978(200205)50:5/7<657::AID-PROP657>3.0.CO;2-#
-
(2002)
Fortschr. Phys.
, vol.50
, pp. 657
-
-
Opatrny, T.1
Scully, M.O.2
-
21
-
-
34547485387
-
-
10.1088/1751-8113/40/30/004;
-
S. Li, H. Wang, Y. D. Sun, and X. X. Yi, J. Phys. A 40, 8655 (2007) 10.1088/1751-8113/40/30/004
-
(2007)
J. Phys. A
, vol.40
, pp. 8655
-
-
Li, S.1
Wang, H.2
Sun, Y.D.3
Yi, X.X.4
-
24
-
-
46749124664
-
-
10.1103/PhysRevB.78.035406;
-
M. Grajcar, S. Ashhab, J. R. Johansson, and F. Nori, Phys. Rev. B 78, 035406 (2008) 10.1103/PhysRevB.78.035406
-
(2008)
Phys. Rev. B
, vol.78
, pp. 035406
-
-
Grajcar, M.1
Ashhab, S.2
Johansson, J.R.3
Nori, F.4
-
27
-
-
42749105021
-
-
10.1103/PhysRevLett.87.220601;
-
M. O. Scully, Phys. Rev. Lett. 87, 220601 (2001) 10.1103/PhysRevLett.87. 220601
-
(2001)
Phys. Rev. Lett.
, vol.87
, pp. 220601
-
-
Scully, M.O.1
-
28
-
-
25644454236
-
-
10.1016/j.physe.2005.05.046;
-
M. O. Scully, Y. Rostovtsev, Z. E. Sariyanni, and M. S. Zubairy, Physica E (Amsterdam) 29, 29 (2005) 10.1016/j.physe.2005.05.046
-
(2005)
Physica e (Amsterdam)
, vol.29
, pp. 29
-
-
Scully, M.O.1
Rostovtsev, Y.2
Sariyanni, Z.E.3
Zubairy, M.S.4
-
29
-
-
25644460995
-
-
10.1016/j.physe.2005.05.052;
-
Y. Rostovtsev, Z. E. Sariyanni, M. S. Zubairy, and M. O. Scully, Physica E 29, 40 (2005) 10.1016/j.physe.2005.05.052
-
(2005)
Physica e
, vol.29
, pp. 40
-
-
Rostovtsev, Y.1
Sariyanni, Z.E.2
Zubairy, M.S.3
Scully, M.O.4
-
30
-
-
25644459861
-
-
10.1016/j.physe.2005.05.045;
-
Z. E. Sariyanni, Y. Rostovtsev, M. S. Zubairy, and M. O. Scully, Physica E 29, 47 (2005) 10.1016/j.physe.2005.05.045
-
(2005)
Physica e
, vol.29
, pp. 47
-
-
Sariyanni, Z.E.1
Rostovtsev, Y.2
Zubairy, M.S.3
Scully, M.O.4
-
31
-
-
33750459372
-
Maxwell's demon assisted thermodynamic cycle in superconducting quantum circuits
-
DOI 10.1103/PhysRevLett.97.180402
-
H. T. Quan, Y. D. Wang, Yu-xi Liu, C. P. Sun, and F. Nori, Phys. Rev. Lett. 97, 180402 (2006). 10.1103/PhysRevLett.97.180402 (Pubitemid 44658287)
-
(2006)
Physical Review Letters
, vol.97
, Issue.18
, pp. 180402
-
-
Quan, H.T.1
Wang, Y.D.2
Liu, Y.-X.3
Sun, C.P.4
Nori, F.5
-
32
-
-
34548814780
-
Quantum thermodynamic cycles and quantum heat engines
-
DOI 10.1103/PhysRevE.76.031105
-
H. T. Quan, Yu-xi Liu, C. P. Sun, and Franco Nori, Phys. Rev. E 76, 031105 (2007), and references therein. 10.1103/PhysRevE.76.031105 (Pubitemid 47443156)
-
(2007)
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
, vol.76
, Issue.3
, pp. 031105
-
-
Quan, H.T.1
Liu, Y.-X.2
Sun, C.P.3
Nori, F.4
-
40
-
-
33244496162
-
-
10.1103/PhysRevE.72.066118;
-
F. Tonner and G. Mahler, Phys. Rev. E 72, 066118 (2005) 10.1103/PhysRevE.72.066118
-
(2005)
Phys. Rev. e
, vol.72
, pp. 066118
-
-
Tonner, F.1
Mahler, G.2
-
41
-
-
10944249489
-
-
10.1103/PhysRevE.68.016101;
-
T. Feldmann and R. Kosloff, Phys. Rev. E 68, 016101 (2003) 10.1103/PhysRevE.68.016101
-
(2003)
Phys. Rev. e
, vol.68
, pp. 016101
-
-
Feldmann, T.1
Kosloff, R.2
-
43
-
-
34347351377
-
-
10.1103/PhysRevA.75.062102;
-
T. Zhang, W.-T. Liu, P.-X. Chen, and C.-Z. Li, Phys. Rev. A 75, 062102 (2007) 10.1103/PhysRevA.75.062102
-
(2007)
Phys. Rev. A
, vol.75
, pp. 062102
-
-
Zhang, T.1
Liu, W.-T.2
Chen, P.-X.3
Li, C.-Z.4
-
44
-
-
33644516305
-
-
10.1007/s10955-005-8015-9;
-
D. Janzing, J. Stat. Phys. 122, 531 (2006) 10.1007/s10955-005-8015-9
-
(2006)
J. Stat. Phys.
, vol.122
, pp. 531
-
-
Janzing, D.1
-
47
-
-
65649110351
-
-
arXiv:0901.3637;
-
E. A. Ivanchenko, e-print arXiv:0901.3637
-
-
-
Ivanchenko, E.A.1
-
48
-
-
58149216373
-
-
10.1103/PhysRevLett.101.260601
-
D. Segal, Phys. Rev. Lett. 101, 260601 (2008). 10.1103/PhysRevLett.101. 260601
-
(2008)
Phys. Rev. Lett.
, vol.101
, pp. 260601
-
-
Segal, D.1
-
49
-
-
0038456400
-
On the concept of pressure in quantum mechanics
-
DOI 10.1209/epl/i2003-00420-8
-
P. Borowski, J. Gemmer, and G. Mahler, Europhys. Lett. 62, 629 (2003). 10.1209/epl/i2003-00420-8 (Pubitemid 36688553)
-
(2003)
Europhysics Letters
, vol.62
, Issue.5
, pp. 629-635
-
-
Borowski, P.1
Gemmer, J.2
Mahler, G.3
-
51
-
-
32844455744
-
-
10.1103/PhysRevE.73.016103;
-
F. Wu, L. Chen, F. Sun, C. Wu, and Q. Li, Phys. Rev. E 73, 016103 (2006) 10.1103/PhysRevE.73.016103
-
(2006)
Phys. Rev. e
, vol.73
, pp. 016103
-
-
Wu, F.1
Chen, L.2
Sun, F.3
Wu, C.4
Li, Q.5
-
52
-
-
55549108667
-
-
10.1016/j.physb.2008.06.028
-
H. Wang, S. Liu, and J. He, Physica B 403, 3867 (2008). 10.1016/j.physb.2008.06.028
-
(2008)
Physica B
, vol.403
, pp. 3867
-
-
Wang, H.1
Liu, S.2
He, J.3
-
53
-
-
19644401489
-
-
10.1103/PhysRevLett.93.140403;
-
T. D. Kieu, Phys. Rev. Lett. 93, 140403 (2004) 10.1103/PhysRevLett.93. 140403
-
(2004)
Phys. Rev. Lett.
, vol.93
, pp. 140403
-
-
Kieu, T.D.1
-
54
-
-
33745211435
-
-
10.1140/epjd/e2006-00075-5
-
T. D. Kieu, Eur. Phys. J. D 39, 115 (2006). 10.1140/epjd/e2006-00075-5
-
(2006)
Eur. Phys. J. D
, vol.39
, pp. 115
-
-
Kieu, T.D.1
-
57
-
-
36149006492
-
-
The generalized force in thermodynamics was originally studied by 10.1103/PhysRev.37.405
-
The generalized force in thermodynamics was originally studied by Lars Onsager, Phys. Rev. 37, 405 (1931) The usual generalized force includes the pressure P, the chemical potential μ, and their conjugate variables (generalized coordinate) are the volume V and the particle number N, respectively. 10.1103/PhysRev.37.405
-
(1931)
Phys. Rev.
, vol.37
, pp. 405
-
-
Onsager, L.1
-
58
-
-
34250935158
-
-
10.1007/BF01341281;
-
L. Szilard, Z. Phys. 53, 840 (1929) 10.1007/BF01341281
-
(1929)
Z. Phys.
, vol.53
, pp. 840
-
-
Szilard, L.1
-
59
-
-
65649087742
-
-
arXiv:quant-ph/0301076.
-
W. H. Zurek, e-print arXiv:quant-ph/0301076.
-
-
-
Zurek, W.H.1
-
64
-
-
65649132944
-
-
Here we consider the zero-point energy of the specific mode ω of the radiation field inside the cavity [Eq. 6]. To be more accurate we should also consider the zero-point energies of the remaining permissible discrete modes inside the cavity and the continuous modes outside the cavity as well. The net effect of all these zero-point energies is the Casimir force, and it is a tiny correction to the usual radiation pressure. When taking into account of all those modes, the value of the correction should be - πc 12 L2 instead of s πc 2 L2 in Eq. 7. Here the negative and positive signs mean attractive and repulsive forces, respectively. Nevertheless, the Casimir effect is not our focus and it does not affect our main result, so we do not include this effect in our discussion.
-
Here we consider the zero-point energy of the specific mode ω of the radiation field inside the cavity [Eq. 6]. To be more accurate we should also consider the zero-point energies of the remaining permissible discrete modes inside the cavity and the continuous modes outside the cavity as well. The net effect of all these zero-point energies is the Casimir force, and it is a tiny correction to the usual radiation pressure. When taking into account of all those modes, the value of the correction should be - πc 12 L2 instead of s πc 2 L2 in Eq. 7. Here the negative and positive signs mean attractive and repulsive forces, respectively. Nevertheless, the Casimir effect is not our focus and it does not affect our main result, so we do not include this effect in our discussion.
-
-
-
-
65
-
-
65649090834
-
-
note
-
In the classical thermodynamic cycles, the adiabatic process implies (1) thermally isolated and (2) quaistatic, or very slow. If the thermally isolated process proceeds fast, the quasistatic conditions are not satisfied. As a result, there will be an internal entropy increase, and irreversibility arises. In order to construct a reversible cycle, such as the Carnot cycle and Brayton cycle, the quasistatic condition must be satisfied in the thermally isolated process. Similarly. for a quantum thermodynamic cycle, the quantum-mechanical counterpart of the classical adiabatic process implies (1) thermally isolated and (2) no interstate excitations and (3) all energy-level spacings change in the same ratio. Alternatively, the quantum-mechanical counterpart of the adiabatic process is the quantum adiabatic process given that all energy-level spacings change in the same ratio. This is because if one starts from a Gibbs density operator, when the quantum adiabatic conditions are satisfied and all energy-level spacings change in the same ratio as we change a parameter of the Hamiltonian, it will remain Gibbsian, so there is no source of irreversibility. On the contrary, if either (1) the quantum adiabatic conditions are not satisfied, or (2) the energy-level spacings do not change in the same ratio in the thermally isolated process, the density operator will not remain Gibbsian, and irreversibility arises. Hence, in order to construct a reversible quantum thermodynamic cycle (quantum-mechanical counterpart of reversible classical thermodynamic cycles), we must focus on those systems whose energy-level spacings change in the same ratio and use the quantum adiabatic process to replace the classical adiabatic plus quasistatic process.
-
-
-
-
66
-
-
2442598410
-
A microscopic, mechanical derivation of the adiabatic gas relation
-
DOI 10.1119/1.1629088
-
P. M. Bellan, Am. J. Phys. 72, 679 (2004). 10.1119/1.1629088 (Pubitemid 38614085)
-
(2004)
American Journal of Physics
, vol.72
, Issue.5
, pp. 679-682
-
-
Bellan, P.M.1
-
67
-
-
65649144616
-
-
There are many other types of conjugate pairs of variables, for example, the electromotive force and the amount of charge, the magnetization and the magnetic field, the surface tension and the surface area, the elastic force and the length stretched, and the gravitational potential and the mass.
-
There are many other types of conjugate pairs of variables, for example, the electromotive force and the amount of charge, the magnetization and the magnetic field, the surface tension and the surface area, the elastic force and the length stretched, and the gravitational potential and the mass.
-
-
-
-
70
-
-
0035313808
-
-
10.1016/S0306-2619(00)00063-5;
-
A. Sisman and H. Saygin, Appl. Energy 68, 367 (2001) 10.1016/S0306- 2619(00)00063-5
-
(2001)
Appl. Energy
, vol.68
, pp. 367
-
-
Sisman, A.1
Saygin, H.2
-
71
-
-
0035418897
-
-
10.1238/Physica.Regular.064a00108;
-
A. Sisman and H. Saygin, Phys. Scr. 64, 108 (2001) 10.1238/Physica. Regular.064a00108
-
(2001)
Phys. Scr.
, vol.64
, pp. 108
-
-
Sisman, A.1
Saygin, H.2
-
72
-
-
33745884680
-
-
10.1016/j.enconman.2006.03.011;
-
F. Wu, L. Chen, F. Sun, C. Wu, F. Guo, and Q. Li, Energy Convers. Manage. 47, 3008 (2006) 10.1016/j.enconman.2006.03.011
-
(2006)
Energy Convers. Manage.
, vol.47
, pp. 3008
-
-
Wu, F.1
Chen, L.2
Sun, F.3
Wu, C.4
Guo, F.5
Li, Q.6
-
73
-
-
33644664790
-
-
10.1007/s11080-006-7267-4;
-
F. Wu, L. Chen, F. Sun, C. Wu, F. Guo, and Q. Li, Open Syst. Inf. Dyn. 13, 55 (2006) 10.1007/s11080-006-7267-4
-
(2006)
Open Syst. Inf. Dyn.
, vol.13
, pp. 55
-
-
Wu, F.1
Chen, L.2
Sun, F.3
Wu, C.4
Guo, F.5
Li, Q.6
-
74
-
-
65649120275
-
-
F. Wu, L. Chen, F. Sun, C. Wu, and Y. Zhu, Energy Convers. Manage. 39, 773 (1998)
-
(1998)
Energy Convers. Manage.
, vol.39
, pp. 773
-
-
Wu, F.1
Chen, L.2
Sun, F.3
Wu, C.4
Zhu, Y.5
-
75
-
-
17744382791
-
-
10.1238/Physica.Regular.063a00263;
-
A. Sisman and H. Saygin, Phys. Scr. 63, 263 (2001) 10.1238/Physica. Regular.063a00263
-
(2001)
Phys. Scr.
, vol.63
, pp. 263
-
-
Sisman, A.1
Saygin, H.2
-
77
-
-
0035370606
-
-
10.1016/S0306-2619(01)00007-1;
-
H. Saygin and A. Sisman, Appl. Energy 69, 77 (2001) 10.1016/S0306- 2619(01)00007-1
-
(2001)
Appl. Energy
, vol.69
, pp. 77
-
-
Saygin, H.1
Sisman, A.2
-
78
-
-
33745507205
-
-
10.1088/0031-8949/73/5/007;
-
F. Wu, L. Chen, F. Sun, C. Wu, and F. Guo, Phys. Scr. 73, 452 (2006) 10.1088/0031-8949/73/5/007
-
(2006)
Phys. Scr.
, vol.73
, pp. 452
-
-
Wu, F.1
Chen, L.2
Sun, F.3
Wu, C.4
Guo, F.5
-
79
-
-
0343008540
-
-
10.1088/0022-3727/32/6/011;
-
A. Sisman and H. Saygin, J. Phys. D 32, 664 (1999) 10.1088/0022-3727/32/ 6/011
-
(1999)
J. Phys. D
, vol.32
, pp. 664
-
-
Sisman, A.1
Saygin, H.2
-
81
-
-
47549103323
-
-
10.1088/0031-8949/77/05/055005
-
B. Lin and J. Chen, Phys. Scr. 77, 055005 (2008). 10.1088/0031-8949/77/ 05/055005
-
(2008)
Phys. Scr.
, vol.77
, pp. 055005
-
-
Lin, B.1
Chen, J.2
-
83
-
-
37649026775
-
-
10.1103/PhysRevE.65.036145;
-
J. He, J. Chen, and B. Hua, Phys. Rev. E 65, 036145 (2002) 10.1103/PhysRevE.65.036145
-
(2002)
Phys. Rev. e
, vol.65
, pp. 036145
-
-
He, J.1
Chen, J.2
Hua, B.3
-
84
-
-
0038542274
-
-
10.1103/PhysRevE.67.046105
-
B. Lin and J. Chen, Phys. Rev. E 67, 046105 (2003). 10.1103/PhysRevE.67. 046105
-
(2003)
Phys. Rev. e
, vol.67
, pp. 046105
-
-
Lin, B.1
Chen, J.2
|