TY - JOUR

T1 - Fluctuation theorem in quantum heat conduction

AU - Saito, Keiji

AU - Dhar, Abhishek

N1 - Copyright:
Copyright 2008 Elsevier B.V., All rights reserved.

PY - 2007/10/31

Y1 - 2007/10/31

N2 - We consider steady-state heat conduction across a quantum harmonic chain connected to reservoirs modeled by infinite collection of oscillators. The heat, Q, flowing across the oscillator in a time interval τ is a stochastic variable and we study the probability distribution function P(Q). We compute the exact generating function of Q at large τ and the large deviation function. The generating function has a symmetry satisfying the steady-state fluctuation theorem without any quantum corrections. The distribution P(Q) is non-Gaussian with clear exponential tails. The effect of finite τ and nonlinearity is considered in the classical limit through Langevin simulations. We also obtain the prediction of quantum heat current fluctuations at low temperatures in clean wires.

AB - We consider steady-state heat conduction across a quantum harmonic chain connected to reservoirs modeled by infinite collection of oscillators. The heat, Q, flowing across the oscillator in a time interval τ is a stochastic variable and we study the probability distribution function P(Q). We compute the exact generating function of Q at large τ and the large deviation function. The generating function has a symmetry satisfying the steady-state fluctuation theorem without any quantum corrections. The distribution P(Q) is non-Gaussian with clear exponential tails. The effect of finite τ and nonlinearity is considered in the classical limit through Langevin simulations. We also obtain the prediction of quantum heat current fluctuations at low temperatures in clean wires.

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U2 - 10.1103/PhysRevLett.99.180601

DO - 10.1103/PhysRevLett.99.180601

M3 - Article

AN - SCOPUS:35948988527

SN - 0031-9007

VL - 99

JO - Physical Review Letters

JF - Physical Review Letters

IS - 18

M1 - 180601

ER -