ESPOSITO, Massimiliano ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
C. Jarzynski, Equalities and inequalities: Irreversibility and the second law of thermodynamics at the nanoscale, Annu. Rev. Condens. Matter Phys. 2, 329 (2011) 1947-5454 10.1146/annurev-conmatphys-062910-140506.
U. Seifert, Stochastic thermodynamics, fluctuation theorems and molecular machines, Rep. Prog. Phys. 75, 126001 (2012) 0034-4885 10.1088/0034-4885/75/12/126001.
P. Talkner, E. Lutz, and P. Hänggi, Fluctuation theorems: Work is not an observable, Phys. Rev. E 75, 050102 (R) (2007) 1539-3755 10.1103/PhysRevE.75.050102.
M. Esposito, U. Harbola, and S. Mukamel, Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems, Rev. Mod. Phys. 81, 1665 (2009) 0034-6861 10.1103/RevModPhys.81.1665.
M. Campisi, P. Hänggi, and P. Talkner, Colloquium: Quantum fluctuation relations: Foundations and applications, Rev. Mod. Phys. 83, 771 (2011) 0034-6861 10.1103/RevModPhys.83.771.
G. E. Crooks, Entropy production fluctuation theorem and the nonequilibrium work relation for free energy differences, Phys. Rev. E 60, 2721 (1999) 1063-651X 10.1103/PhysRevE.60.2721.
D. J. Evans and D. J. Searles, The fluctuation theorem, Adv. Phys. 51, 1529 (2002) 0001-8732 10.1080/00018730210155133.
C. Maes, On the origin and the use of fluctuation relations for the entropy, Séminaire Poincaré 2, 29 (2003).
P. Talkner and P. Hänggi, Aspects of quantum work, Phys. Rev. E 93, 022131 (2016) 2470-0045 10.1103/PhysRevE.93.022131.
Y. Masuyama, K. Funo, Y. Murashita, A. Noguchi, S. Kono, Y. Tabuchi, R. Yamazaki, M. Ueda, and Y. Nakamura, Information-to-work conversion by Maxwell's demon in a superconducting circuit quantum electrodynamical system, Nat. Commun. 9, 1291 (2018) 2041-1723 10.1038/s41467-018-03686-y.
L. Mazzola, G. De Chiara, and M. Paternostro, Measuring the characteristic function of the work distribution, Phys. Rev. Lett. 110, 230602 (2013) 0031-9007 10.1103/PhysRevLett.110.230602.
R. Dorner, S. R. Clark, L. Heaney, R. Fazio, J. Goold, and V. Vedral, Extracting quantum work statistics and fluctuation theorems by single-qubit interferometry, Phys. Rev. Lett. 110, 230601 (2013) 0031-9007 10.1103/PhysRevLett.110.230601.
T. B. Batalhão, A. M. Souza, L. Mazzola, R. Auccaise, R. S. Sarthour, I. S. Oliveira, J. Goold, G. De Chiara, M. Paternostro, and R. M. Serra, Experimental reconstruction of work distribution and study of fluctuation relations in a closed quantum system, Phys. Rev. Lett. 113, 140601 (2014) 0031-9007 10.1103/PhysRevLett.113.140601.
A. J. Roncaglia, F. Cerisola, and J. P. Paz, Work measurement as a generalized quantum measurement, Phys. Rev. Lett. 113, 250601 (2014) 0031-9007 10.1103/PhysRevLett.113.250601.
G. De Chiara, A. J. Roncaglia, and J. P. Paz, Measuring work and heat in ultracold quantum gases, New J. Phys. 17, 035004 (2015) 1367-2630 10.1088/1367-2630/17/3/035004.
F. Cerisola, Y. Margalit, S. Machluf, A. J. Roncaglia, J. P. Paz, and R. Folman, Using a quantum work meter to test non-equilibrium fluctuation theorems, Nat. Commun. 8, 1241 (2017) 2041-1723 10.1038/s41467-017-01308-7.
K. Micadei, G. T. Landi, and E. Lutz, Quantum fluctuation theorems beyond two-point measurements, Phys. Rev. Lett. 124, 090602 (2020) 0031-9007 10.1103/PhysRevLett.124.090602.
K. Micadei, J. P. S. Peterson, A. M. Souza, R. S. Sarthour, I. S. Oliveira, G. T. Landi, R. M. Serra, and E. Lutz, Experimental validation of fully quantum fluctuation theorems using dynamic bayesian networks, Phys. Rev. Lett. 127, 180603 (2021) 0031-9007 10.1103/PhysRevLett.127.180603.
G. H. Aguilar, T. L. Silva, T. E. Guimarães, R. S. Piera, L. C. Céleri, and G. T. Landi, Two-point measurement of entropy production from the outcomes of a single experiment with correlated photon pairs, Phys. Rev. A 106, L020201 (2022) 2469-9926 10.1103/PhysRevA.106.L020201.
A. Solfanelli, A. Santini, and M. Campisi, Experimental verification of fluctuation relations with a quantum computer, PRX Quantum 2, 030353 (2021) 2691-3399 10.1103/PRXQuantum.2.030353.
S. L. Jacob, M. Esposito, J. M. R. Parrondo, and F. Barra, Thermalization induced by quantum scattering, PRX Quantum 2, 020312 (2021) 2691-3399 10.1103/PRXQuantum.2.020312.
J. Tabanera, I. Luque, S. L. Jacob, M. Esposito, F. Barra, and J. M. R. Parrondo, Quantum collisional thermostats, New J. Phys. 24, 023018 (2022) 1367-2630 10.1088/1367-2630/ac4923.
S. L. Jacob, M. Esposito, J. M. R. Parrondo, and F. Barra, Quantum scattering as a work source, Quantum 6, 750 (2022) 2521-327X 10.22331/q-2022-06-29-750.
M. Razavy, Quantum Theory of Tunneling (World Scientific Publishing, Singapore, 2003).
D. Belkić, Principles of Quantum Scattering Theory (Institute of Physics Publishing, Bristol, 2004).
J. R. Taylor, Scattering Theory: The Quantum Theory of Nonrelativistic Collisions (Dover Publications, New York, 2006).
A. Furrer, J. Mesot, and T. Strüssle, Neutron Scattering in Condensed Matter Physics (World Scientific, Singapore, 2009).
R. Alicki, On the scattering theory for quantum dynamical semigroups, Ann. Inst. H. Poincaré Sect. A 35, 97 (1981).
R. Alicki and A. Frigerio, Scattering theory for quantum dynamical semigroups. II., Ann. Inst. H. Poincaré Sect. A 38, 187 (1983).
R. Dümcke, The low density limit for an N-level system interacting with a free Bose or Fermi gas, Commun. Math. Phys. 97, 331 (1985) 0010-3616 10.1007/BF01213401.
K. Hornberger, S. Uttenthaler, B. Brezger, L. Hackermüller, M. Arndt, and A. Zeilinger, Collisional decoherence observed in matter wave interferometry, Phys. Rev. Lett. 90, 160401 (2003) 0031-9007 10.1103/PhysRevLett.90.160401.
K. Hornberger, Master equation for a quantum particle in a gas, Phys. Rev. Lett. 97, 060601 (2006) 0031-9007 10.1103/PhysRevLett.97.060601.
K. Hornberger, Monitoring approach to open quantum dynamics using scattering theory, Europhys. Lett. 77, 50007 (2007) 0295-5075 10.1209/0295-5075/77/50007.
K. Hornberger and B. Vacchini, Monitoring derivation of the quantum linear Boltzmann equation, Phys. Rev. A 77, 022112 (2008) 1050-2947 10.1103/PhysRevA.77.022112.
R. Landauer, Spatial variation of currents and fields due to localized scatterers in metallic conduction, IBM J. Res. Dev. 1, 223 (1957) 0018-8646 10.1147/rd.13.0223.
M. Büttiker, Scattering theory of current and intensity noise correlations in conductors and wave guides, Phys. Rev. B 46, 12485 (1992) 0163-1829 10.1103/PhysRevB.46.12485.
Y. V. Nazarov and Y. M. Blanter, Quantum Transport (Cambridge University Press, Cambridge, UK, 2009).
A. Bruch, C. Lewenkopf, and F. von Oppen, Landauer-Büttiker approach to strongly coupled quantum thermodynamics: Inside-outside duality of entropy evolution, Phys. Rev. Lett. 120, 107701 (2018) 0031-9007 10.1103/PhysRevLett.120.107701.
Q. Bouton, J. Nettersheim, S. Burgardt, D. Adam, E. Lutz, and A. Widera, A quantum heat engine driven by atomic collisions, Nat. Commun. 12, 2063 (2021) 2041-1723 10.1038/s41467-021-22222-z.
M. Hohmann, F. Kindermann, T. Lausch, D. Mayer, F. Schmidt, and A. Widera, Single-atom thermometer for ultracold gases, Phys. Rev. A 93, 043607 (2016) 2469-9926 10.1103/PhysRevA.93.043607.
F. Schmidt, D. Mayer, Q. Bouton, D. Adam, T. Lausch, J. Nettersheim, E. Tiemann, and A. Widera, Tailored single-atom collisions at ultralow energies, Phys. Rev. Lett. 122, 013401 (2019) 0031-9007 10.1103/PhysRevLett.122.013401.
Q. Bouton, J. Nettersheim, D. Adam, F. Schmidt, D. Mayer, T. Lausch, E. Tiemann, and A. Widera, Single-atom quantum probes for ultracold gases boosted by nonequilibrium spin dynamics, Phys. Rev. X 10, 011018 (2020) 2160-3308 10.1103/PhysRevX.10.011018.
A. M. Alhambra, L. Masanes, J. Oppenheim, and C. Perry, Fluctuating work: From quantum thermodynamical identities to a second law equality, Phys. Rev. X 6, 041017 (2016) 2160-3308 10.1103/PhysRevX.6.041017.
M. Lostaglio, An introductory review of the resource theory approach to thermodynamics, Rep. Prog. Phys. 82, 114001 (2019) 0034-4885 10.1088/1361-6633/ab46e5.
E. Chitambar and G. Gour, Quantum resource theories, Rev. Mod. Phys. 91, 025001 (2019) 0034-6861 10.1103/RevModPhys.91.025001.
L. D. Landau and E. M. Lifshitz, Quantum Mechanics: Non-relativistic Theory (Pergamon Press, Oxford, 1977).
J. J. Sakurai, Modern Quantum Mechanics (Revised Edition) (Addison-Wesley, Redwood City, CA, 1993).
Alternatively, the result also follows if the system is initially diagonal (Equation presented); however, in this paper we generally make no such assumption.
Note that we cannot use the first line of Eq. (13) to compute (Equation presented) with the zero-order approximation (Equation presented) for very broad states.
G. T. Landi and M. Paternostro, Irreversible entropy production: From classical to quantum, Rev. Mod. Phys. 93, 035008 (2021) 0034-6861 10.1103/RevModPhys.93.035008.
Y. Aharonov and T. Kaufherr, Quantum frames of reference, Phys. Rev. D 30, 368 (1984) 0556-2821 10.1103/PhysRevD.30.368.
Y. Aharonov, J. Oppenheim, S. Popescu, B. Reznik, and W. G. Unruh, Measurement of time of arrival in quantum mechanics, Phys. Rev. A 57, 4130 (1998) 1050-2947 10.1103/PhysRevA.57.4130.
M. P. Woods, R. Silva, and J. Oppenheim, Autonomous quantum machines and finite-sized clocks, Ann. Henri Poincaré 20, 125 (2019) 1424-0637 10.1007/s00023-018-0736-9.
M. O. Scully, B.-G. Englert, and H. Walther, Quantum optical tests of complementarity, Nature (London) 351, 111 (1991) 0028-0836 10.1038/351111a0.
A. Zeilinger, T. Herzog, M. A. Horne, P. G. Kwiat, K. Mattle, and H. Weinfurter, Path information in quantum interferometry, in Coherence and Quantum Optics VII (Springer, Boston, 1996), pp. 305-312.
M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, UK, 1997).
M. Schlosshauer, Decoherence and the Quantum-To-Classical Transition (Springer, Berlin, Heidelberg, 2007).
J. M. Raimond, M. Brune, and S. Haroche, Manipulating quantum entanglement with atoms and photons in a cavity, Rev. Mod. Phys. 73, 565 (2001) 0034-6861 10.1103/RevModPhys.73.565.
S. Haroche and J.-M. Raimond, Exploring the Quantum: Atoms, Cavities, and Photons (Oxford University Press, Oxford, 2006).
