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Numerical evaluation and robustness of the quantum mean force Gibbs state

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Chiu_2022_Numerical_evaluation_and_robustness_PRA_AAM.pdf (428.7Kb)
Date
06/07/2022
Author
Chiu, Yiu-Fung
Strathearn, Aidan
Keeling, Jonathan
Funder
EPSRC
Grant ID
EP/T014032/1
Keywords
QC Physics
TK Electrical engineering. Electronics Nuclear engineering
T-NDAS
NCAD
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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
DOI
https://doi.org/10.1103/PhysRevA.106.012204
ISSN
1050-2947
Type
Journal article
Rights
Copyright © 2022 American Physical Society. This work has been made available online in accordance with publisher policies or with permission. Permission for further reuse of this content should be sought from the publisher or the rights holder. This is the author created accepted manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at https://doi.org/10.1103/PhysRevA.106.012204.
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).
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  • University of St Andrews Research
URI
http://hdl.handle.net/10023/25575

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