### Abstract

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.

Original language | English |
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Article number | 180601 |

Journal | Physical Review Letters |

Volume | 99 |

Issue number | 18 |

DOIs | |

Publication status | Published - 2007 Oct 31 |

Externally published | Yes |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)

### Cite this

*Physical Review Letters*,

*99*(18), [180601]. https://doi.org/10.1103/PhysRevLett.99.180601

**Fluctuation theorem in quantum heat conduction.** / Saitou, Keiji; Dhar, Abhishek.

Research output: Contribution to journal › Article

*Physical Review Letters*, vol. 99, no. 18, 180601. https://doi.org/10.1103/PhysRevLett.99.180601

}

TY - JOUR

T1 - Fluctuation theorem in quantum heat conduction

AU - Saitou, Keiji

AU - Dhar, Abhishek

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.

UR - http://www.scopus.com/inward/record.url?scp=35948988527&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=35948988527&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.99.180601

DO - 10.1103/PhysRevLett.99.180601

M3 - Article

AN - SCOPUS:35948988527

VL - 99

JO - Physical Review Letters

JF - Physical Review Letters

SN - 0031-9007

IS - 18

M1 - 180601

ER -