Experimental Observation of a Generalized Gibbs Ensemble

Abstract

The connection between the non-equilibrium dynamics of isolated quantum many-body systems and statistical mechanics is a fundamental open question. It is generally believed that the unitary quantum evolution of a sufficiently complex system leads to an apparent maximum-entropy state that can be described by thermodynamical ensembles. However, conventional ensembles fail to describe the large class of systems that exhibit non-trivial conserved quantities. Instead, generalized ensembles have been predicted to maximize entropy in these systems. In our experiments we explicitly show that a degenerate one-dimensional Bose gas relaxes to a state that can be described by such a generalized ensemble. This is verified through a detailed study of correlation functions up to 10th order. The applicability of the generalized ensemble description for isolated quantum many-body systems points to a natural emergence of classical statistical properties from the microscopic unitary quantum evolution.

5 pages + 4 pages supp. mat., 4 figures

References in corpus (15)

• Thermalization and its mechanism for generic isolated quantum systems
• Matter-wave interferometry in a double well on an atom chip
• Quantum Quench in the Transverse Field Ising Chain
• Breakdown of thermalization in finite one-dimensional systems
• The Luttinger model following a sudden interaction switch-on
• Dynamical phase transition in correlated fermionic lattice systems
• The multi-configurational time-dependent Hartree method for bosons: Many-body dynamics of bosonic systems
• Relaxation of a one-dimensional Mott insulator after an interaction quench
• The dynamics and prethermalization of one dimensional quantum systems probed through the full distributions of quantum noise
• Optimizing number squeezing when splitting a mesoscopic condensate
• Quantum versus classical statistical dynamics of an ultracold Bose gas
• Correlations in an expanding gas of hard-core bosons
• Two-point phase correlations of a one-dimensional bosonic Josephson junction
• Intrinsic dephasing in one dimensional ultracold atom interferometers
• Multimode dynamics and emergence of a characteristic length-scale in a one-dimensional quantum system

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• Theoretical study on thermalization in isolated quantum systems
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