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Quantum stochastic description of collisions in a canonical Bose gas
Patrick Navez, Achilleas Lazarides
We derive a stochastic process that describes the kinetics of a one-dimensional Bose gas in a regime where three body collisions are important. In this situation the system becomes…
Strongly interacting one-dimensional bosons in arbitrary-strength optical lattices: from Bose-Hubbard to sine-Gordon and beyond
Achilleas Lazarides, Masudul Haque
We analyze interacting one-dimensional bosons in the continuum, subject to a periodic sinusoidal potential of arbitrary depth. Variation of the lattice depth tunes the system from…
Strongly interacting bosons in a 1D optical lattice at incommensurate densities
Achilleas Lazarides, Olivier Tieleman, Cristiane Morais Smith
We investigate quantum phase transitions occurring in a system of strongly interacting ultracold bosons in a 1D optical lattice. After discussing the commensurate-incommensurate tr…