Sangam: A Confluence of Knowledge Streams

Contributions to single-shot energy exchanges in open quantum systems

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dc.creator Sampaio, R
dc.creator Anders, J
dc.creator Philbin, TG
dc.creator Ala-Nissila, T
dc.date 2021-01-04T07:16:29Z
dc.date 2019-06-25
dc.date 2021-01-04T07:16:29Z
dc.date.accessioned 2022-05-27T01:02:13Z
dc.date.available 2022-05-27T01:02:13Z
dc.identifier Vol. 99 (6), article 062131
dc.identifier 10.1103/PhysRevE.99.062131
dc.identifier 312298
dc.identifier EP/M009165/1
dc.identifier http://hdl.handle.net/10871/124267
dc.identifier 2470-0053
dc.identifier Physical Review E
dc.identifier.uri http://localhost:8080/xmlui/handle/CUHPOERS/241880
dc.description This is the author accepted manuscript. The final version is available from the American Physical Society via the DOI in this record
dc.description The exchange of energy between a classical open system and its environment can be analysed for a single run of an experiment using the phase space trajectory of the system. By contrast, in the quantum regime such energy exchange processes must be defined for an {\it ensemble} of runs of the same experiment based on the reduced system density matrix. Single-shot approaches have been proposed for quantum systems that are weakly coupled to a heat bath. However, a single-shot analysis for a quantum system that is entangled or strongly interacting with external degrees of freedom has not been attempted because no system wave function exists for such a system within the standard formulation of quantum theory. Using the notion of the {\it conditional} wave function of a quantum system, we derive here an exact formula for the rate of total energy change in an open quantum system, valid for arbitrary coupling between the system and the environment. In particular, this allows us to identify three distinct contributions to the total energy flow: an external contribution coming from the explicit time dependence of the Hamiltonian, an interaction contribution associated with the interaction part of the Hamiltonian, and an entanglement contribution, directly related to the presence of entanglement between the system and its environment. Given the close connection between weak values and the conditional wave function, the approach presented here provides a new avenue for experimental studies of energy fluctuations in open quantum systems.
dc.description Academy of Finland
dc.description Magnus Ehrnrooth Foundation
dc.description CMMP Education Network
dc.description Engineering and Physical Sciences Research Council (EPSRC)
dc.description Royal Society
dc.language en
dc.publisher American Physical Society
dc.rights © 2019 American Physical Society
dc.title Contributions to single-shot energy exchanges in open quantum systems
dc.type Article


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