Post-Ehrenfest many-body quantum interferences in ultracold atoms far-out-of-equilibrium

Abstract

Far out-of-equilibrium many-body quantum dynamics in isolated systems necessarily generate interferences beyond an Ehrenfest time scale, where quantum and classical expectation values diverge. Of great recent interest is the role these interferences play in the spreading of quantum information across the many degrees of freedom, i.e.~scrambling. Ultracold atomic gases provide a promising setting to explore these phenomena. Theoretically speaking, the heavily-relied-upon truncated Wigner approximation leaves out these interferences. We develop a semiclassical theory which bridges classical and quantum concepts in many-body bosonic systems and properly incorporates such missing quantum effects. For mesoscopically populated Bose-Hubbard systems, it is shown that this theory captures post-Ehrenfest quantum interference phenomena very accurately, and contains relevant phase information to perform many-body spectroscopy with high precision.

6 pages, 2 figures - the second version has a new Fig 1 with a new caption and remarks, more discussion around Eq. 2, and a changed final paragraph

References in corpus (13)

• Many-Body Physics with Ultracold Gases
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• The density-matrix renormalization group in the age of matrix product states
• Nonlinear atom interferometer surpasses classical precision limit
• Non-equilibrium coherence dynamics in one-dimensional Bose gases
• Squeezing and entanglement in a Bose-Einstein condensate
• Dynamical control of matter-wave tunneling in periodic potentials
• DMRG and periodic boundary conditions: a quantum information perspective
• Lyapunov Exponent and Out-of-Time-Ordered Correlator's Growth Rate in a Chaotic System
• Many-body Landau-Zener dynamics in coupled 1D Bose liquids
• Bose-Einstein Condensation and Spontaneous Symmetry Breaking
• The semiclassical propagator in fermionic Fock space
• Time-dependent Semiclassics for Ultracold Bosons

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