Expansion of a one-dimensional Bose gas: the role of interactions and kinetic-energy driving

Abstract

We study the expansion of a one-dimensional boson gas by suddenly increasing the length of the chain where it resides. We consider three initial ground-state configurations: the Mott insulator, the conventional superfluid clumped around zero momentum, and the cat-like state with peaks at momenta $\pm \pi /2$, resulting from rapid kinetic driving. In turn, we consider three types of expansion: spectroscopic (with interactions tuned to zero), dynamic (with standard short-range repulsive interactions) and under kinetic driving. The numerical calculations are exact. We compute the momentum- and real-space one-particle densities as well as the two-particle momentum correlations. The spectroscopic time-of-flight experiment faithfully reflects the initial momentum distribution. For the dynamic expansion starting from an insulator, we reproduce the non-equilibrium quasi-condensation into momenta $\pm \pi /2$ while noticing correlations in the momentum distribution, and provide an intuitive physical picture. A discussion of various measures of the momentum correlations is also presented.

arXiv comment19 pages, 8 figures. Slightly revised in response to referee reports

References in corpus (29)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Collapse and Revival of the Matter Wave Field of a Bose-Einstein Condensate
• Atomic quantum gases in periodically driven optical lattices
• Fermionic transport in a homogeneous Hubbard model: Out-of-equilibrium dynamics with ultracold atoms
• Evolution of a Bose-condensed gas under variations of the confining potential
• Expansion dynamics of interacting bosons in homogeneous lattices in one and two dimensions
• Flat bands, Dirac cones and atom dynamics in an optical lattice
• Fermionization in an expanding 1D gas of hard-core bosons
• Emergence of quasi-condensates of hard-core bosons at finite momentum
• Preformed pairs in flat Bloch bands
• Expansion of a quantum gas released from an optical lattice
• Dynamical Quasicondensation of Hard-Core Bosons at Finite Momenta
• Exploring a quantum degenerate gas of fermionic atoms
• Momentum-resolved observation of thermal and quantum depletion in an interacting Bose gas
• Sudden expansion of Mott insulators in one dimension
• Quantum geometry and flat band Bose-Einstein condensation
• Theory of correlations between ultra-cold bosons released from an optical lattice
• Realization of uniform synthetic magnetic fields by periodically shaking an optical square lattice
• Expansion of Bose-Hubbard Mott insulators in optical lattices
• Bound states and expansion dynamics of interacting bosons on a one-dimensional lattice
• Single-atom-resolved probing of lattice gases in momentum space
• Momentum-space atom correlations in a Mott insulator
• Generation of atypical hopping and interactions by kinetic driving
• Two-body collisions in the time-of-flight dynamics of lattice Bose superfluids
• Protected cat states from kinetic driving of a boson gas
• Quantum fluctuations and condensate fraction during the time-of-flight expansion
• Role of interactions in time-of-flight expansion of atomic clouds from optical lattices
• Cat states in a driven superfluid: role of signal shape and switching protocol

Cited by in corpus (1)

• Superfluidity from correlations in driven boson systems