Numerical evaluation and robustness of the quantum mean force Gibbs state

Yiu-Fung Chiu; Aidan Strathearn; Jonathan Keeling

doi:10.1103/PhysRevA.106.012204

Numerical evaluation and robustness of the quantum mean force Gibbs state

Yiu-Fung Chiu, Aidan Strathearn, Jonathan Keeling

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	012204
Number of pages	8
Journal	Physical Review. A, Atomic, molecular, and optical physics
Volume	106
Issue number	1
DOIs	https://doi.org/10.1103/PhysRevA.106.012204
Publication status	Published - 6 Jul 2022

Access to Document

10.1103/PhysRevA.106.012204

Chiu-2022-Numerical-evaluation-and-robustness-PRA-AAM
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.
Accepted author manuscript, 429 KB

Understanding and engineering: Understanding and engineering dissipation in nanoscale quantum devices
Lovett, B. W. (PI) & Keeling, J. M. J. (CoI)
EPSRC
1/04/20 → 31/03/23
Project: Standard

Data Underpinning: Numerical evaluation and robustness of the quantum mean-force Gibbs state
Chiu, Y.-F. (Creator), Strathearn, A. (Creator) & Keeling, J. M. J. (Creator), University of St Andrews, 25 Jul 2022
DOI: 10.17630/7f3f2820-2156-4a58-aba7-7794f3e9e08f
Dataset

File

Cite this

@article{b4e17be95e674b9d9e1e3648a1b44be0,

title = "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. ",

author = "Yiu-Fung Chiu and Aidan Strathearn and Jonathan Keeling",

note = "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).",

year = "2022",

month = jul,

day = "6",

doi = "10.1103/PhysRevA.106.012204",

language = "English",

volume = "106",

journal = "Physical Review. A, Atomic, molecular, and optical physics",

issn = "1050-2947",

publisher = "American Physical Society",

number = "1",

}

TY - JOUR

T1 - Numerical evaluation and robustness of the quantum mean force Gibbs state

AU - Chiu, Yiu-Fung

AU - Strathearn, Aidan

AU - Keeling, Jonathan

N1 - 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).

PY - 2022/7/6

Y1 - 2022/7/6

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevA.106.012204

DO - 10.1103/PhysRevA.106.012204

M3 - Article

SN - 1050-2947

VL - 106

JO - Physical Review. A, Atomic, molecular, and optical physics

JF - Physical Review. A, Atomic, molecular, and optical physics

IS - 1

M1 - 012204

ER -

Numerical evaluation and robustness of the quantum mean force Gibbs state

Abstract

Access to Document

Fingerprint

Projects

Understanding and engineering: Understanding and engineering dissipation in nanoscale quantum devices

Datasets

Data Underpinning: Numerical evaluation and robustness of the quantum mean-force Gibbs state

Cite this