Geometrical Bounds on Irreversibility in Open Quantum Systems
Year: 2018
Authors: Mancino L., Cavina V., De Pasquale A., Sbroscia M., Booth R.I., Roccia E., Gianani I., Giovannetti V., Barbieri M.
Autors Affiliation: Univ Roma Tre, Dipartimento Sci, Via Vasca Navale 84, I-00146 Rome, Italy; Scuola Normale Super Pisa, NEST, Piazza Cavalieri 7, I-56126 Pisa, Italy; CNR, Ist Nanosci, Piazza Cavalieri 7, I-56126 Pisa, Italy; Univ Firenze, Dipartimento Fis, Via G Sansone 1, I-50019 Sesto Fiorentino, FI, Italy; Ist Nazl Fis Nucl, Sez Firenze, Via G Sansone 1, I-50019 Sesto Fiorentino, FI, Italy; Sorbonne Univ, Inst Phys, 4 Pl Jussieu, F-75005 Paris, France; CNR, Ist Nazl Ott, Largo Enrico Fermi 6, I-50125 Florence, Italy.
Abstract: The Clausius inequality has deep implications for reversibility and the arrow of time. Quantum theory is able to extend this result for closed systems by inspecting the trajectory of the density matrix on its manifold. Here we show that this approach can provide an upper and lower hound to the irreversible entropy production for open quantum systems as well. These provide insights on how the information on the initial state is forgotten through a thermalization process. Limits of the applicability of our hounds are discussed and demonstrated in a quantum photonic simulator.
Journal/Review: PHYSICAL REVIEW LETTERS
Volume: 121 (16) Pages from: 160602-1 to: 160602-6
More Information: We are grateful to A. Mari, M. A. Ciampini, R. Raimondi, and M. Paternostro for insightful feedbacks on the manuscript. A. D. P. acknowledges the financial support from the University of Florence in the framework of the University Strategic Project Program 2015 (Project BRS00215).KeyWords: Relative Entropy; Information; PrincipleDOI: 10.1103/PhysRevLett.121.160602Citations: 23data from “WEB OF SCIENCE” (of Thomson Reuters) are update at: 2024-11-17References taken from IsiWeb of Knowledge: (subscribers only)Connecting to view paper tab on IsiWeb: Click hereConnecting to view citations from IsiWeb: Click here