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Dynamics of a Strongly Coupled Polaron

Frank, Rupert L. and Schlein, Benjamin (2014) Dynamics of a Strongly Coupled Polaron. Letters in Mathematical Physics, 104 (8). pp. 911-929. ISSN 0377-9017. doi:10.1007/s11005-014-0700-7.

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We study the dynamics of large polarons described by the Fröhlich Hamiltonian in the limit of strong coupling. The initial conditions are (perturbations of) product states of an electron wave function and a phonon coherent state, as suggested by Pekar. We show that, to leading order on the natural time scale of the problem, the phonon field is stationary and the electron moves according to an effective linear Schrödinger equation.

Item Type:Article
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URLURL TypeDescription Paper ReadCube access
Frank, Rupert L.0000-0001-7973-4688
Additional Information:© 2014 by the authors. This paper may be reproduced, in its entirety, for non-commercial purposes. Received: 23 November 2013; Revised: 24 March 2014; Accepted: 15 April 2014. U.S. National Science Foundation grant PHY-1347399 (R.F.) and ERC Starting Grant MAQD-240518 (B.S.) are acknowledged.
Funding AgencyGrant Number
European Research Council (ERC)MAQD-240518
Subject Keywords:polaron, dynamics, Schrödinger operator, quantized field
Issue or Number:8
Record Number:CaltechAUTHORS:20140708-142118299
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Official Citation:Frank, R.L. & Schlein, B. Lett Math Phys (2014) 104: 911. doi:10.1007/s11005-014-0700-7
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:47080
Deposited By: Joanne McCole
Deposited On:08 Jul 2014 22:02
Last Modified:10 Nov 2021 17:34

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