Initial-state dependence of thermodynamic dissipation for any quantum process
Exact results about the nonequilibrium thermodynamics of open quantum systems at arbitrary timescales are obtained by considering all possible variations of initial conditions of a system. First we obtain a quantum-information theoretic equality for entropy production, valid for an arbitrary initial...
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| Format: | Journal Article |
| Language: | English |
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2021
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| Online Access: | https://hdl.handle.net/10356/151111 |
| _version_ | 1811688587939282944 |
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| author | Riechers, Paul M. Gu, Mile |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Riechers, Paul M. Gu, Mile |
| author_sort | Riechers, Paul M. |
| collection | NTU |
| description | Exact results about the nonequilibrium thermodynamics of open quantum systems at arbitrary timescales are obtained by considering all possible variations of initial conditions of a system. First we obtain a quantum-information theoretic equality for entropy production, valid for an arbitrary initial joint state of system and environment. For any finite-time process with a fixed initial environment, we then show that the system's loss of distinction—relative to the minimally dissipative state—exactly quantifies its thermodynamic dissipation. The quantum component of this dissipation is the change in coherence relative to the minimally dissipative state. Implications for quantum state preparation and local control are explored. For nonunitary processes—like the preparation of any particular quantum state—we find that mismatched expectations lead to divergent dissipation as the actual initial state becomes orthogonal to the anticipated one. |
| first_indexed | 2024-10-01T05:34:35Z |
| format | Journal Article |
| id | ntu-10356/151111 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T05:34:35Z |
| publishDate | 2021 |
| record_format | dspace |
| spelling | ntu-10356/1511112023-02-28T19:24:46Z Initial-state dependence of thermodynamic dissipation for any quantum process Riechers, Paul M. Gu, Mile School of Physical and Mathematical Sciences Complexity Institute Science::Physics Irreversible Processes Nonequilibrium and Irreversible Thermodynamics Exact results about the nonequilibrium thermodynamics of open quantum systems at arbitrary timescales are obtained by considering all possible variations of initial conditions of a system. First we obtain a quantum-information theoretic equality for entropy production, valid for an arbitrary initial joint state of system and environment. For any finite-time process with a fixed initial environment, we then show that the system's loss of distinction—relative to the minimally dissipative state—exactly quantifies its thermodynamic dissipation. The quantum component of this dissipation is the change in coherence relative to the minimally dissipative state. Implications for quantum state preparation and local control are explored. For nonunitary processes—like the preparation of any particular quantum state—we find that mismatched expectations lead to divergent dissipation as the actual initial state becomes orthogonal to the anticipated one. Ministry of Education (MOE) National Research Foundation (NRF) Published version We are grateful to Felix Binder, Alec Boyd, Artemy Kolchinsky, Gabriel Landi, Varun Narasimhachar, and David Wolpert for useful discussions relevant to this work. This research is supported by the National Research Foundation (NRF), Singapore, under its NRFF Fellow program (Award No. NRF-NRFF2016-02), the Singapore Ministry of Education Tier 1 grant RG146/20, FQXi-RFP-IPW-1903 from the foundational Questions Institute and Fetzer Franklin Fund, a donor advised fund of Silicon Valley Community Foundation. Any opinions, findings and conclusions or recommendations expressed in this material are those of the authors and do not reflect the views of the National Research Foundation, Singapore. 2021-06-29T03:37:57Z 2021-06-29T03:37:57Z 2021 Journal Article Riechers, P. M. & Gu, M. (2021). Initial-state dependence of thermodynamic dissipation for any quantum process. Physical Review E, 103(4), 042145-. https://dx.doi.org/10.1103/PhysRevE.103.042145 2470-0045 https://hdl.handle.net/10356/151111 10.1103/PhysRevE.103.042145 34005943 2-s2.0-85105382651 4 103 042145 en NRF-NRFF2016-02 RG146/20 Physical Review E © 2021 American Physical Society (APS). Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI. application/pdf |
| spellingShingle | Science::Physics Irreversible Processes Nonequilibrium and Irreversible Thermodynamics Riechers, Paul M. Gu, Mile Initial-state dependence of thermodynamic dissipation for any quantum process |
| title | Initial-state dependence of thermodynamic dissipation for any quantum process |
| title_full | Initial-state dependence of thermodynamic dissipation for any quantum process |
| title_fullStr | Initial-state dependence of thermodynamic dissipation for any quantum process |
| title_full_unstemmed | Initial-state dependence of thermodynamic dissipation for any quantum process |
| title_short | Initial-state dependence of thermodynamic dissipation for any quantum process |
| title_sort | initial state dependence of thermodynamic dissipation for any quantum process |
| topic | Science::Physics Irreversible Processes Nonequilibrium and Irreversible Thermodynamics |
| url | https://hdl.handle.net/10356/151111 |
| work_keys_str_mv | AT riecherspaulm initialstatedependenceofthermodynamicdissipationforanyquantumprocess AT gumile initialstatedependenceofthermodynamicdissipationforanyquantumprocess |