A single-particle dark state in a dissipating spin chain induces universal long-time many-body dynamics with momentum distribution scaling as k sqrt(t) and density decaying as 1/(sqrt(t) log t).
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Spinor Bose gases in one dimension are described by quantum integrable m by n matrix extensions of the nonlinear Schrödinger model, with Bethe equations and thermodynamic integral equations derived for arbitrary spin and specifically for spin-1 cases.
Dark states unaffected by decentered interactions create exactly solvable subspaces in a nonintegrable 1D box-trap model for bosons and fermions.
The chaotic phase of the tilted Bose-Hubbard model is identified via eigenstate structure and energy spectrum statistics as a function of energy, tilt strength, and interaction, with moderate tilt enhancing chaos and a phase diagram provided for homogeneous density setups.
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Universal dynamics from a single-particle dark state
A single-particle dark state in a dissipating spin chain induces universal long-time many-body dynamics with momentum distribution scaling as k sqrt(t) and density decaying as 1/(sqrt(t) log t).
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Quantum integrable matrix models of spinor Bose gases in one spatial dimension
Spinor Bose gases in one dimension are described by quantum integrable m by n matrix extensions of the nonlinear Schrödinger model, with Bethe equations and thermodynamic integral equations derived for arbitrary spin and specifically for spin-1 cases.
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Partial solvability induced by dark states in a box trap with decentered two-body interaction
Dark states unaffected by decentered interactions create exactly solvable subspaces in a nonintegrable 1D box-trap model for bosons and fermions.
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Characterization of the chaotic phase in the tilted Bose-Hubbard model
The chaotic phase of the tilted Bose-Hubbard model is identified via eigenstate structure and energy spectrum statistics as a function of energy, tilt strength, and interaction, with moderate tilt enhancing chaos and a phase diagram provided for homogeneous density setups.