Large deviations and universality in quantum quenches

Abstract

We study the large deviations statistics of the intensive work done by changing globally a control parameter in a thermally isolated quantum many-body system. We show that, upon approaching a critical point, large deviations well below the mean work display universal features related to the critical Casimir effect in the corresponding classical system. Large deviations well above the mean are, instead, of quantum nature and not captured by the quantum-to-classical correspondence. For a bosonic system we show that in this latter regime a transition from exponential to power-law statistics, analogous to the equilibrium Bose-Einstein condensation, may occur depending on the parameters of the quench and on the spatial dimensionality.

5 pages, 2 figures

References in corpus (6)

• The large deviation approach to statistical mechanics
• Fluctuation theorems: Work is not an observable
• The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
• The Casimir effect: from quantum to critical fluctuations
• The dynamics and prethermalization of one dimensional quantum systems probed through the full distributions of quantum noise
• Universal energy distribution of quasi-particles emitted in a local time dependent quench

Cited by in corpus (9)

• Entanglement negativity after a global quantum quench
• Universal quench dynamics of interacting quantum impurity systems
• Quench echo and work statistics in integrable quantum field theories
• Condensation of Fluctuations in and out of Equilibrium
• Statistics of work distribution in periodically driven closed quantum systems
• Energy and Heat Fluctuations in a Temperature Quench
• Fluctuation Theorems and the Generalised Gibbs Ensemble in Integrable Systems
• Exact overlaps in the Kondo problem
• Singular behavior of fluctuations in a relaxation process