Large deviations and fluctuation theorem for the quantum heat current in the spin-boson model
| Autor: | Erik Aurell, Kirone Mallick, Brecht Donvil |
|---|---|
| Přispěvatelé: | Department of Mathematics and Statistics, Royal Institute of Technology [Stockholm] (KTH ), Department of Mathematics and Statistics [Helsinki], Falculty of Science [Helsinki], University of Helsinki-University of Helsinki, Institut de Physique Théorique - UMR CNRS 3681 (IPHT), Commissariat à l'énergie atomique et aux énergies alternatives (CEA)-Université Paris-Saclay-Centre National de la Recherche Scientifique (CNRS), Helsingin yliopisto = Helsingfors universitet = University of Helsinki-Helsingin yliopisto = Helsingfors universitet = University of Helsinki |
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
Physics
Heat current Fluctuation theorem Dissipation DISSIPATIVE DYNAMICS RECIPROCITY 01 natural sciences 010305 fluids & plasmas Qubit Quantum electrodynamics 2-LEVEL SYSTEM 0103 physical sciences Path integral formulation 111 Mathematics COUNTING STATISTICS [PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech] 010306 general physics Harmonic oscillator Generating function (physics) Boson |
| Zdroj: | Physical Review E Physical Review E, American Physical Society (APS), 2020, 101 (5), pp.052116. ⟨10.1103/PhysRevE.101.052116⟩ Physical Review E, 2020, 101 (5), pp.052116. ⟨10.1103/PhysRevE.101.052116⟩ |
| ISSN: | 2470-0045 2470-0053 |
| DOI: | 10.1103/PhysRevE.101.052116⟩ |
| Popis: | International audience; We study the heat current flowing between two baths consisting of harmonic oscillators interacting with a qubit through a spin-boson coupling. An explicit expression for the generating function of the total heat flowing between the right and left baths is derived by evaluating the corresponding Feynman-Vernon path integral by performing the non-interacting blip approximation (NIBA). We recover the known expression, obtained by using the polaron transform. This generating function satisfies the Gallavotti-Cohen fluctuation theorem, both before and after performing the NIBA. We also verify that the heat conductance is proportional to the variance of the heat current, retrieving the well known fluctuation dissipation relation. Finally, we present numerical results for the heat current. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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