Dimensional crossover of quantum critical dynamics in many-body phase transitions

Manipulation of ultracold atoms in optical lattices is one of the optimal ways to observe phase transitions of the Hubbard model which is useful in a variety of condensed-matter systems. Bosonic atoms in this model experience a phase transition from superfluids to Mott insulators by tuning systematic parameters. However, in conventional setups, phase transitions take place over a large range of parameters instead of one critical point due to the background inhomogeneity caused by the Gaussian shape of optical-lattice lasers. To probe the phase transition point more precisely in our lattice system, we apply a blue-detuned laser to compensate for this local Gaussian geometry. By inspecting the change of visibility, we find a sudden jump point at one particular trap depth of optical lattices, corresponding to the first appearance of Mott insulators in inhomogeneous systems. This provides a simple method to detect the phase transition point in such inhomogeneous systems. We believe it will be a useful tool for most cold atom experiments.

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Dimensional crossover of quantum critical dynamics in many-body phase transitions

Cited by 3 publications

References 43 publications

Determination of dynamical quantum phase transitions for boson systems using the Loschmidt cumulants method

Determination of dynamical quantum phase transitions for boson systems using the Loschmidt cumulants method

Phase separation of a repulsive two-component Fermi gas at the two- to three-dimensional crossover

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