Thermodynamic consistency of quantum master equations

SORET, Ariane; CAVINA, Vasco; ESPOSITO, Massimiliano

doi:10.1103/PhysRevA.106.062209

Download

Article (Scientific journals)

Thermodynamic consistency of quantum master equations

SORET, Ariane; CAVINA, Vasco; ESPOSITO, Massimiliano

2022 • In Physical Review. A, 106 (6), p. 062209

Peer reviewed

Permalink
https://hdl.handle.net/10993/60129

DOI
10.1103/PhysRevA.106.062209

Files (1)Send to Details Statistics Bibliography Similar publications

Files

Full Text

143_22SoretCavinaEspoPRA.pdf

Author postprint (587.93 kB)

Download

All documents in ORBilu are protected by a user license.

Send to

RIS BibTex APA Chicago Permalink X Linkedin

Details

Disciplines :

Physics

Author, co-author :

SORET, Ariane ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)

CAVINA, Vasco ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)

ESPOSITO, Massimiliano ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)

External co-authors :

Language :

English

Title :

Thermodynamic consistency of quantum master equations

Publication date :

December 2022

Journal title :

Physical Review. A

ISSN :

2469-9934

Publisher :

American Physical Society

Volume :

106

Issue :

Pages :

062209

Peer reviewed :

Peer reviewed

Available on ORBilu :

since 08 February 2024

Statistics

Number of views

3 (0 by Unilu)

Number of downloads

1 (0 by Unilu)

More statistics

Scopus citations^®

Scopus citations^®
without self-citations

OpenCitations

Bibliography

R. Alicki, Rep. Math. Phys. 10, 249 (1976) 0034-4877 10.1016/0034-4877(76)90046-X.
A. Kossakowski, A. Frigerio, V. Gorini, and M. Verri, Commun. Math. Phys. 57, 97 (1977) 0010-3616 10.1007/BF01625769.
H. Spohn and J. L. Lebowitz, Adv. Chem. Phys 38, 109 (1978) 10.1002/9780470142578.ch2.
F. Fagnola and V. Umanità, Infin. Dimension. Anal. Quantum Probab. Relat. Top. 10, 335 (2007) 0219-0257 10.1142/S0219025707002762.
P. Talkner, Ann. Phys. 167, 390 (1986) 0003-4916 10.1016/0003-4916(86)90207-1.
G. Agarwal, Z. Phys. A: Hadrons Nucl. 258, 409 (1973) 0939-7922 10.1007/BF01391504.
W. Majewski, J. Math. Phys. 25, 614 (1984) 0022-2488 10.1063/1.526164.
U. Seifert, Rep. Prog. Phys. 75, 126001 (2012) 0034-4885 10.1088/0034-4885/75/12/126001.
P. Strasberg, Quantum Stochastic Thermodynamics: Foundations and Selected Applications (Oxford University Press, Oxford, 2021).
R. Dann and R. Kosloff, Phys. Rev. Res. 3, 023006 (2021) 2643-1564 10.1103/PhysRevResearch.3.023006.
A. Hewgill, G. De Chiara, and A. Imparato, Phys. Rev. Res. 3, 013165 (2021) 2643-1564 10.1103/PhysRevResearch.3.013165.
P. Potts, A. A. S. Kalaee, and A. Wacker, New J. Phys. 23, 123013 (2021) 1367-2630 10.1088/1367-2630/ac3b2f.
M. Esposito, U. Harbola, and S. Mukamel, Phys. Rev. B 75, 155316 (2007) 1098-0121 10.1103/PhysRevB.75.155316.
M. Esposito, U. Harbola, and S. Mukamel, Rev. Mod. Phys. 81, 1665 (2009) 0034-6861 10.1103/RevModPhys.81.1665.
M. Campisi, P. Hänggi, and P. Talkner, Rev. Mod. Phys. 83, 771 (2011) 0034-6861 10.1103/RevModPhys.83.771.
G. Bulnes Cuetara, M. Esposito, and G. Schaller, Entropy 18, 447 (2016) 1099-4300 10.3390/e18120447.
R. Chetrite and K. Mallick, J. Stat. Phys. 148, 480 (2012) 0022-4715 10.1007/s10955-012-0557-z.
G. Manzano, J. M. Horowitz, and J. M. R. Parrondo, Phys. Rev. X 8, 031037 (2018) 2160-3308 10.1103/PhysRevX.8.031037.
J. Kurchan, arXiv.cond-mat/0007360 (2000) 10.48550/arXiv.cond-mat/0007360.
D. Andrieux, P. Gaspard, T. Monnai, and S. Tasaki, New J. Phys. 11, 043014 (2009) 1367-2630 10.1088/1367-2630/11/4/043014.
G. Kiršanskas, M. Franckié, and A. Wacker, Phys. Rev. B 97, 035432 (2018) 2469-9950 10.1103/PhysRevB.97.035432.
K. Ptaszyński and M. Esposito, Phys. Rev. Lett. 122, 150603 (2019) 0031-9007 10.1103/PhysRevLett.122.150603.
D. Farina and V. Giovannetti, Phys. Rev. A 100, 012107 (2019) 2469-9926 10.1103/PhysRevA.100.012107.
G. McCauley, B. Cruikshank, D. I. Bondar, and K. Jacobs, npj Quantum Inf. 6, 74 (2020) 2056-6387 10.1038/s41534-020-00299-6.
F. Nathan and M. S. Rudner, Phys. Rev. B 102, 115109 (2020) 2469-9950 10.1103/PhysRevB.102.115109.
A. Trushechkin, Phys. Rev. A 103, 062226 (2021) 2469-9926 10.1103/PhysRevA.103.062226.
Rigorously speaking, we should write (Equation presented) instead of (Equation presented) since (Equation presented) acts as the identity on the Hilbert spaces of the baths. Similarly, (Equation presented) acts as the identity on the system and the baths (Equation presented). To alleviate the notation, we omit the identity products throughout the paper.
M. Esposito, K. Lindenberg, and C. Van den Broeck, New J. Phys. 12, 013013 (2010) 1367-2630 10.1088/1367-2630/12/1/013013.
U. Seifert, Phys. Rev. Lett. 95, 040602 (2005) 0031-9007 10.1103/PhysRevLett.95.040602.
C. Jarzynski, Phys. Rev. Lett. 78, 2690 (1997) 0031-9007 10.1103/PhysRevLett.78.2690.
H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press on Demand, Oxford, 2002).
R. Rao and M. Esposito, New J. Phys. 20, 023007 (2018) 1367-2630 10.1088/1367-2630/aaa15f.
R. Rao and M. Esposito, Entropy 20, 635 (2018) 1099-4300 10.3390/e20090635.
M. Polettini, G. Bulnes-Cuetara, and M. Esposito, Phys. Rev. E 94, 052117 (2016) 2470-0045 10.1103/PhysRevE.94.052117.
This follows from the fact that (Equation presented) is trace preserving and from the definition of the adjoint superoperator.
F. Fagnola and V. Umanità, Math. Notes 84, 108 (2008) 0001-4346 10.1134/S0001434608070092.
D. Tupkary, A. Dhar, M. Kulkarni, and A. Purkayastha, Phys. Rev. A 105, 032208 (2022) 2469-9926 10.1103/PhysRevA.105.032208.
S. L. Jacob, M. Esposito, J. M. R. Parrondo, and F. Barra, PRX Quantum 2, 020312 (2021) 2691-3399 10.1103/PRXQuantum.2.020312.
M. Horodecki and J. Oppenheim, Nat. Commun. 4, 2059 (2013) 2041-1723 10.1038/ncomms3059.
F. G. S. L. Brandão, M. Horodecki, J. Oppenheim, J. M. Renes, and R. W. Spekkens, Phys. Rev. Lett. 111, 250404 (2013) 0031-9007 10.1103/PhysRevLett.111.250404.
F. Brandão, M. Horodecki, N. Ng, J. Oppenheim, and S. Wehner, Proc. Natl. Acad. Sci. USA 112, 3275 (2015) 0027-8424 10.1073/pnas.1411728112.
G. B. Cuetara, A. Engel, and M. Esposito, New J. Phys. 17, 055002 (2015) 1367-2630 10.1088/1367-2630/17/5/055002.
C. Elouard, D. Herrera-Marti, M. Esposito, and A. Auffeves, New J. Phys. 22, 103039 (2020) 1367-2630 10.1088/1367-2630/abbd6e.
M. L. Mehta, Random Matrices, Pure and Applied Mathematics Series (Academic Press, Saclay, Gif-sur-Yvette, 2004), Vol. 142.