No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
The full text of this article is not currently available.
A note on the Landauer principle in quantum statistical mechanics
7. Alicki, R. , Horodecki, M. , Horodecki, P. , and Horodecki, R. , “Thermodynamics of quantum information systems–Hamiltonian description,” Open Syst. Inf. Dyn. 11, 205–217 (2004).
13. Aschbacher, W. , Jakšić, V. , Pautrat, Y. , and Pillet, C.-A. , “Topics in non-equilibrium quantum statistical mechanics,” in Open Quantum Systems III. Recent Developments, Lecture Notes in Mathematics Vol. 1882, edited by S. Attal, A. Joye, and C.-A. Pillet (Springer, Berlin, 2006).
14. Aschbacher, W. , Jakšić, V. , Pautrat, Y. , and Pillet, C.-A. , “Transport properties of quasi-free Fermions,” J. Math. Phys. 48, 032101 (2007).
17. Bérut, A. , Arakelyan, A. , Petrosyan, A. , Ciliberto, S. , Dillenscheider, R. , and Lutz, E. , “Experimental verification of Landauer's principle linking information and thermodynamics,” Nature (London) 483, 187–189 (2012).
19. Botvich, D. D. and Malyshev, V. A. , “Unitary equivalence of temperature dynamics for ideal and locally perturbed Fermi-gas,” Commun. Math. Phys. 91, 301–312 (1983).
20. Bratteli, O. and Robinson, D. W. , Operator Algebras and Quantum Statistical Mechanics I, 2nd ed. (Springer, Berlin, 1987).
21. Bratteli, O. and Robinson, D. W. , Operator Algebras and Quantum Statistical Mechanics II, 2nd ed. (Springer, Berlin, 1997).
25. Davies, E. B. and Spohn, H. , “Open quantum systems with time-dependent Hamiltonians and their linear response,” J. Stat. Phys. 19, 511–523 (1978).
26. de Groot, S. R. and Mazur, P. , Nonequilibrium Thermodynamics (North Holland, Amsterdam, 1962).
27. Dereziński, J. and Früboes, R. , “Fermi golden rule and open quantum systems,” in Open Quantum Systems III. Recent Developments, Lecture Notes in Mathematics Vol. 1882, edited by S. Attal, A. Joye, and C.-A. Pillet (Springer, Berlin, 2006).
34. Fröhlich, J. , Merkli, M. , Schwarz, S. , and Ueltschi, D. , “Statistical mechanics of thermodynamic processes,” in A Garden of Quanta: Essays in Honor of Hiroshi Ezawa, edited by J. Arafune, A. Arai, M. Kobayashi, K. Nakamura, T. Nakamura, I. Ojima, N. Sakai, A. Tonomura, and K. Watanabe (World Scientific Publishing, Singapore, 2003).
36. Hanson, E. , Summer research project, McGill University, 2014.
37. Haag, R. , Hugenholtz, N. M. , and Winnink, M. , “On the equilibrium states in quantum statistical mechanics,” Commun. Math. Phys. 5, 215–223 (1967).
38. Hugenholtz, N. M. , “On the factor type of equilibrium states in quantum statistical mechanics,” Commun. Math. Phys. 6, 189–193 (1967).
41. Jakšić, V. , Ogata, Y. , Pautrat, Y. , and Pillet, C.-A. , “Entropic fluctuations in quantum statistical mechanics – an introduction,” in Quantum Theory from Small to Large Scales, edited by J. Fröhlich, M. Salmhofer, V. Mastropietro, W. De Roeck, and L. F. Cugliandolo (Oxford University Press, Oxford, 2012).
42. Jaksic, V. , Ogata, Y. , Pillet, C.-A. , and Seiringer, R. , “Quantum hypothesis testing and non-equilibrium statistical mechanics,” Rev. Math. Phys. 24, 1230002 (2012).
43. Jakšić, V. and Pillet, C.-A. , “On a model for quantum friction III: Ergodic properties of the spin–boson system,” Commun. Math. Phys. 178, 627–651 (1996).
48. Jakšić, V. and Pillet, C.-A. , “Non-equilibrium steady states of finite quantum systems coupled to thermal reservoirs,” Commun. Math. Phys. 226, 131–162 (2002).
50. Jakšić, V. and Pillet, C.-A. , “Adiabatic theorem for KMS states,” (unpublished).
53. Kadison, R. V. and Ringrose, J. R. , Fundamentals of the Theory of Operator Algebras. Volume I. Elementary Theory (Academic Press, New York, 1983).
57. McLennan, J. A. Jr., “The formal statistical theory of transport processes,” in Advances in Chemical Physics, edited by I. Prigogine (Wiley, Hoboken, NJ, 1963), Vol. 5.
58. Merkli, M. , Mück, M. , and Sigal, I. M. , “Instability of equilibrium states for coupled heat reservoirs at different temperatures,” J. Funct. Anal. 243, 87–120 (2007).
61. Ohya, M. and Petz, D. , Quantum Entropy and its Use, 2nd ed. (Springer, Heidelberg, 2004).
62. Ojima, I. , “Entropy production and non-equilibrium stationarity in quantum dynamical systems: Physical meaning of Van Hove limit,” J. Stat. Phys. 56, 203–226 (1989).
63. Ojima, I. , “Entropy production and non-equilibrium stationarity in quantum dynamical systems,” in Quantum Aspects of Optical Communications, Lecture Notes in Physics Vol. 378, edited by C. Bendjaballah, O. Hirota, and S. Reynaud (Springer, Berlin, 1991).
64. Ojima, I. , Hasegawa, H. , and Ichiyanagi, M. , “Entropy production and its positivity in nonlinear response theory of quantum dynamical systems,” J. Stat. Phys. 50, 633–655 (1988).
65. Pillet, C.-A. , “Entropy production in classical and quantum systems,” Markov Proc. Relat. Fields 7, 145–157 (2001).
66. Pillet, C.-A. , “Quantum dynamical systems,” in Open Quantum Systems I. The Hamiltonian Approach, Lecture Notes in Mathematics Vol. 1880, edited by S. Attal, A. Joye, and C.-A. Pillet (Springer, Berlin, 2006).
69. Raquépas, R. , Summer research project, McGill University, 2014.
, M. M.
, “(Im-)proving Landauer's principle
,” preprint arXiv:1306.4352v2
74. Simon, B. , The Statistical Mechanics of Lattice Gases I (Princeton University Press, Princeton, NJ, 1993).
77. Tasaki, S. and Matsui, T. , “Fluctuation theorem, non-equilibrium steady states and MacLennan-Zubarev ensembles of a class of large systems,” in Fundamental Aspects of Quantum Physics, QP-PQ: Quantum Probability and White Noise Analysis Vol. 17, edited by L. Accardi and S. Tasaki (World Scientific Publishing, Singapore, 2003).
79. Thirring, W. , Quantum Mathematical Physics: Atoms, Molecules and Large Systems, 2nd ed. (Springer, Berlin, 2002).
80. Zubarev, D. N. , “The statistical operator for nonequilibrium systems,” Sov. Phys. Dokl. 6, 776–778 (1962).
81. Zubarev, D. N. , Nonequilibrium Statistical Thermodynamics (Consultants, New York, 1974).
Article metrics loading...
The Landauer principle asserts that the energy cost of erasure of one bit of information by the action of a thermal reservoir in equilibrium at temperature T is never less than k B T log 2. We discuss Landauer's principle for quantum statistical models describing a finite level quantum system coupled to an infinitely extended thermal reservoir . Using Araki's perturbation theory of KMS states and the Avron-Elgart adiabatic theorem we prove, under a natural ergodicity assumption on the joint system , that Landauer's bound saturates for adiabatically switched interactions. The recent work [Reeb, D. and Wolf M. M., “(Im-)proving Landauer's principle,” preprint arXiv:1306.4352v2 (2013)] on the subject is discussed and compared.
Full text loading...
Most read this month