Energy flow in non-equilibrium conformal field theory

By D. Bernard, B. Doyon. 2012

155 citations recorded by the source corpus.

We study the energy current and its fluctuations in quantum gapless 1d systems far from equilibrium modeled by conformal field theory, where two separated halves are prepared at distinct temperatures and glued together at a point contact. We prove that these systems converge towards steady states, and give a general description of such non-equilibrium steady states in terms of quantum field theory data. We compute the large deviation function, also called the full counting statistics, of energy transfer through the contact. These are universal and satisfy fluctuation relations. We provide a simple representation of these quantum fluctuations in terms of classical Poisson processes whose intensities are proportional to Boltzmann weights.

Subfields: Civil and Structural Engineering, Materials Chemistry, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/38eba02244cd77be3eb59fafdf01a113a6816c19

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. B. Doyon
2. Herbert Spohn
3. D. Bernard

In Materials Chemistry

1. B. Doyon
2. Herbert Spohn
3. D. Bernard
4. S. Hartnoll
5. Andrew Lucas
6. J. Cardy
7. S. Sachdev
8. J. Moore

In Statistical and Nonlinear Physics

1. B. Doyon
2. Pasquale Calabrese
3. Herbert Spohn
4. J. Cardy
5. S. Sachdev
6. D. Bernard
7. Andrew Lucas
8. Romain Vasseur

Citations in the corpus

• Quantum quenches in 1  +  1 dimensional conformal field theories (2016, background): “1), where there are non-zero energy currents, or to the steady state currents set up by a non-zero temperature gradient (see [183] and [184]).”
• Lecture notes on Generalised Hydrodynamics (2019, background): “A large number of exact predictions and even rigorous results have been obtained: for the classical harmonic lattice [51], quantum models with free fermionic and bosonic descriptions [57–65], and conformal field theories in one dimension [53, 66] and in higher dimensions [10, 67, 68].”
• Conformal field theory out of equilibrium: a review (2016, methodology): “Then [23] the unique solution to these requirements, up to a normalization, is (62).”
• Holographic Quantum Matter (2016, background): “For the case of a conformal field theory, the answer is known exactly [86].”
• Drude Weight for the Lieb-Liniger Bose Gas (2017, methodology): “The pure transmission property holds in free particle models and in conformal field theory [19], and it was conjectured in [42] to hold as well in interacting integrable models.”
• Nonequilibrium quantum dynamics and transport: from integrability to many-body localization (2016, background): “This is surprising, as one would generally expect the thermal current to be a function of TL and TR jointly and not just the difference of one function evaluated at the two temperatures, and indeed this more complicated dependence is what happens in theoretical estimates [21, 47].”
• Emergent hydrodynamics in integrable quantum systems out of equilibrium (2016, background): “In agreement with general CFT results [26,27], a light cone thus builds up (despite the model having no intrinsic maximal velocity), and the full state is, in fact, homogeneous between the Fermi velocities.”