Numerical evaluation and robustness of the quantum mean force Gibbs state
Abstract
We introduce a numerical method to determine the Hamiltonian of Mean Force (HMF) Gibbs state for a quantum system strongly coupled to a reservoir. The method adapts the Time Evolving Matrix Product Operator (TEMPO) algorithm to imaginary time propagation. By comparing the real-time and imaginary-time propagation for a generalized spin-boson model, we confirm that the HMF Gibbs state correctly predicts the steady state. We show that the numerical dynamics match the polaron master equation at strong coupling. We illustrate the potential of the imaginary-time TEMPO approach by exploring reservoir-induced entanglement between qubits.
Citation
Chiu , Y-F , Strathearn , A & Keeling , J 2022 , ' Numerical evaluation and robustness of the quantum mean force Gibbs state ' , Physical Review. A, Atomic, molecular, and optical physics , vol. 106 , no. 1 , 012204 . https://doi.org/10.1103/PhysRevA.106.012204
Publication
Physical Review. A, Atomic, molecular, and optical physics
Status
Peer reviewed
ISSN
1050-2947Type
Journal article
Description
Funding: Y.F.C. acknowledges funding from the St Andrews Undergraduate Research Assistant Scheme, the School of Physics and Astronomy Student-Staff Council vacation awards, and the University of St Andrews Physics Trust. J.K. acknowledges funding from EPSRC (EP/T014032/1).Collections
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