• Corpus ID: 240070405

Universal out-of-equilibrium dynamics of 1D critical quantum systems perturbed by noise coupled to energy

@inproceedings{Christopoulos2021UniversalOD,
  title={Universal out-of-equilibrium dynamics of 1D critical quantum systems perturbed by noise coupled to energy},
  author={Alex Christopoulos and Pierre Le Doussal and Denis Bernard and Andrea De Luca},
  year={2021}
}

• A. Christopoulos, P. L. Doussal, +1 author A. Luca
• Published 28 October 2021
• Physics

We consider critical one dimensional quantum systems initially prepared in their groundstate and perturbed by a smooth noise coupled to the energy density. By using conformal field theory, we deduce a universal description of the out-of-equilibrium dynamics. In particular, the full time-dependent distribution of any 2–pt chiral correlation function can be obtained from solving two coupled ordinary stochastic differential equations. In contrast with the general expectation of heating, we demonstrate that the system reaches a non-trivial and universal stationary state characterized by broad distributions. As an example, we analyse the local energy density: while its first moment diverges exponentially fast in time, the stationary distribution, which we derive analytically, is symmetric around a negative median and exhibits a fat tail with 3/2 decay exponent. We obtain a similar result for the entanglement entropy production associated to a given interval of size `. The corresponding stationary distribution has a 3/2 right tail for all `, and converges to a one-sided Levy stable for large `. Our results are benchmarked via analytical and numerical calculations for a chain of non-interacting spinless fermions with excellent agreement.