Locality Bound for Dissipative Quantum Transport
Abstract
We prove an upper bound on the diffusivity of a dissipative, local, and translation invariant quantum Markovian spin system: D ≤ D0 + (αvLRτ + βξ)vC. Here vLR is the Lieb-Robinson velocity, vC is a velocity defined by the current operator, τ is the decoherence time, ξ is the range of interactions, D0 is a decoherence-induced microscopic diffusivity, and α and β are precisely defined dimensionless coefficients. The bound constrains quantum transport by quantities that can either be obtained from the microscopic interactions (D0, vLR, vC, ξ) or else determined from independent local nontransport measurements (τ, α, β). We illustrate the general result with the case of a spin-half XXZ chain with on-site dephasing. Furthermore, our result generalizes the Lieb-Robinson bound to constrain the sub-ballistic diffusion of conserved densities in a dissipative setting.
- Authors:
-
- Stanford Univ., CA (United States)
- Publication Date:
- Research Org.:
- Stanford Univ., CA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1612850
- Alternate Identifier(s):
- OSTI ID: 1478605
- Grant/Contract Number:
- SC0018134
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review Letters
- Additional Journal Information:
- Journal Volume: 121; Journal Issue: 17; Journal ID: ISSN 0031-9007
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics; Diffusion; Open quantum systems & decoherence; Quantum statistical mechanics; Quantum transport
Citation Formats
Han, Xizhi, and Hartnoll, Sean A. Locality Bound for Dissipative Quantum Transport. United States: N. p., 2018.
Web. doi:10.1103/physrevlett.121.170601.
Han, Xizhi, & Hartnoll, Sean A. Locality Bound for Dissipative Quantum Transport. United States. https://doi.org/10.1103/physrevlett.121.170601
Han, Xizhi, and Hartnoll, Sean A. Tue .
"Locality Bound for Dissipative Quantum Transport". United States. https://doi.org/10.1103/physrevlett.121.170601. https://www.osti.gov/servlets/purl/1612850.
@article{osti_1612850,
title = {Locality Bound for Dissipative Quantum Transport},
author = {Han, Xizhi and Hartnoll, Sean A.},
abstractNote = {We prove an upper bound on the diffusivity of a dissipative, local, and translation invariant quantum Markovian spin system: D ≤ D0 + (αvLRτ + βξ)vC. Here vLR is the Lieb-Robinson velocity, vC is a velocity defined by the current operator, τ is the decoherence time, ξ is the range of interactions, D0 is a decoherence-induced microscopic diffusivity, and α and β are precisely defined dimensionless coefficients. The bound constrains quantum transport by quantities that can either be obtained from the microscopic interactions (D0, vLR, vC, ξ) or else determined from independent local nontransport measurements (τ, α, β). We illustrate the general result with the case of a spin-half XXZ chain with on-site dephasing. Furthermore, our result generalizes the Lieb-Robinson bound to constrain the sub-ballistic diffusion of conserved densities in a dissipative setting.},
doi = {10.1103/physrevlett.121.170601},
journal = {Physical Review Letters},
number = 17,
volume = 121,
place = {United States},
year = {Tue Oct 23 00:00:00 EDT 2018},
month = {Tue Oct 23 00:00:00 EDT 2018}
}
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Works referencing / citing this record:
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