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Langevin dynamics of a heavy particle and orthogonality effects

Thomas, Mark and Karzig, Torsten and Viola Kusminskiy, Silvia (2015) Langevin dynamics of a heavy particle and orthogonality effects. Physical Review B, 92 (24). Art. No. 245404. ISSN 1098-0121. https://resolver.caltech.edu/CaltechAUTHORS:20160106-104059073

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Abstract

The dynamics of a classical heavy particle moving in a quantum environment is determined by a Langevin equation which encapsulates the effect of the environment-induced reaction forces on the particle. For an open quantum system, these include a Born-Oppenheimer force, a dissipative force, and a stochastic force due to shot and thermal noise. Recently, it was shown that these forces can be expressed in terms of the scattering matrix of the system by considering the classical heavy particle as a time-dependent scattering center, allowing to demonstrate interesting features of these forces when the system is driven out of equilibrium. At the same time, it is well known that small changes in a scattering potential can have a profound impact on a fermionic system due to the Anderson orthogonality catastrophe. In this work, by calculating the Loschmidt echo, we relate Anderson orthogonality effects with the mesoscopic reaction forces for an environment that can be taken out of equilibrium. In particular, we show how the decay of the Loschmidt echo is characterized by fluctuations and dissipation in the system and discuss different quench protocols.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevB.92.245404DOIArticle
http://journals.aps.org/prb/abstract/10.1103/PhysRevB.92.245404PublisherArticle
http://arxiv.org/abs/1506.06061arXivDiscussion Paper
ORCID:
AuthorORCID
Karzig, Torsten0000-0003-0834-0547
Additional Information:©2015 American Physical Society. (Received 6 July 2015; published 3 December 2015) We thank F. von Oppen for several illuminating discussions. We acknowledge support by the Deutsche Forschungsgesellschaft through Sfb 658 (S.V.K., M.T.), the Helmholtz Virtual Institute “New States of Matter and Their Excitations” (Berlin) and the A. v H. Foundation (S.V.K), and the Institute for Quantum Information and Matter, a NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation through Grant No. GBMF1250 (T.K.).
Group:Institute for Quantum Information and Matter, IQIM
Funders:
Funding AgencyGrant Number
Deutsche Forschungsgemeinschaft (DFG)SFB 658
Helmholtz Virtual Institute “New States of Matter and Their Excitations”UNSPECIFIED
Alexander von Humboldt FoundationUNSPECIFIED
Institute for Quantum Information and Matter (IQIM)UNSPECIFIED
NSF Physics Frontiers CenterUNSPECIFIED
Gordon and Betty Moore FoundationGBMF1250
Issue or Number:24
Classification Code:PACS number(s): 03.65.Nk, 03.65.Sq, 05.60.Gg, 73.63.−b
Record Number:CaltechAUTHORS:20160106-104059073
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20160106-104059073
Official Citation:Langevin dynamics of a heavy particle and orthogonality effects Mark Thomas, Torsten Karzig, and Silvia Viola Kusminskiy Phys. Rev. B 92, 245404
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:63415
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:06 Jan 2016 18:51
Last Modified:03 Oct 2019 09:28

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