Adiabatic Loading of Cold Bosons in Three-Dimensional Optical Lattices and Superfluid-Normal Phase Transition

Abstract

We investigate the effects of the adiabatic loading of optical lattices to the temperature by applying the mean-field approximation to the three-dimensional Bose-Hubbard model at finite temperatures. We compute the lattice-height dependence of the isentropic curves for the given initial temperatures in case of the homogeneous system i.e., neglecting the trapping potential. Taking the unit of temperatures as the recoil energy, the adiabatic cooling/heating through superfluid (SF) - normal (N) phase transition is clearly understood. It is found that the cooling occurs in SF phase while the heating occurs in N phase and the efficiency of adibatic cooling/heating is higher at higher temperatures. We also explain how its behavior can be understood from the lattice-hight dependence of dispersion relation in each phase. Furthermore, the connection of the adiabatic heating/cooling between the cases with/without the trapping potential is discussed.

4 pages, 8 figures

References in corpus (16)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Cold bosonic atoms in optical lattices
• Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
• The cold atom Hubbard toolbox
• Interference pattern and visibility of a Mott insulator
• Boson Mott insulators at finite temperatures
• Ultracold atoms in optical lattices
• Intrinsic Heating and Cooling in Adiabatic Processes for Bosons in Optical Lattices
• Criterion for bosonic superfluidity in an optical lattice
• Mott insulators in an optical lattice with high filling factors
• Adiabatic loading of bosons into optical lattices
• Do mixtures of bosonic and fermionic atoms adiabatically heat up in optical lattices?
• Finite-temperature effects on the number fluctuation of ultracold atoms across the Superfluid to Mott-insulator transition
• The role of interactions, tunneling and harmonic confinement on the adiabatic loading of bosons in an optical lattice
• Characteristics of Bose-Einstein condensation in an optical lattice
• Signal of Bose condensation in an optical lattice at finite temperature

Cited by in corpus (8)

• Cooling in strongly correlated optical lattices: prospects and challenges
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• Lattice Thermodynamics for Ultra-Cold Atoms
• Near-adiabatic parameter changes in correlated systems: Influence of the ramp protocol on the excitation energy
• Slow Thermalization Between a Lattice and Free Bose Gas
• Certifying the adiabatic preparation of ultracold lattice bosons in the vicinity of the Mott transition
• Bounds on detection of Bell correlations with entangled ultra-cold atoms in optical lattices under occupation defects
• Isentropes of spin-1 bosons in an optical lattice