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From harmonic trap to optical lattice: Adiabatic loading of a quasi-one-dimensional interacting Bose gas

Xuerui Du, Qi Wang, Jianhui Wang +1 more

Annals of PhysicsSep 10, 20250 citations

Thermodynamics of adiabatically loaded cold bosons in the Mott insulating phase of one-dimensional optical lattices

K. P. Schmidt, A. Reischl, Götz Silvester Uhrig

arXiv:cond-mat/0510461The European Physical Journal DJan 9, 20069 citations

Adiabatic loading of bosons into optical lattices (8 pages)

J. V. Porto, P. B. Blakie

Physical Review AJan 1, 20044 citations

Adiabatic Nonlinear Probes of One-Dimensional Bose Gases

Claudia De Grandi, Roman A. Barankov, Anatoli Polkovnikov

We discuss two complimentary problems: adiabatic loading of one-dimensional bosons into an optical lattice and merging two one-dimensional Bose systems. Both problems can be mapped to the sine-Gordon model. This mapping allows us to find power-law scalings for the number of excitations with the ramping rate in the regime where the conventional linear response approach fails. We show that the exponent of this power law is sensitive to the interaction strength. In particular, the response is larger, or less adiabatic, for strongly (weakly) interacting bosons for the loading (merging) problem. Our results illustrate that in general the nonlinear response to slow relevant perturbations can be a powerful tool for characterizing properties of interacting systems.We discuss two complimentary problems: adiabatic loading of one-dimensional bosons into an optical lattice and merging two one-dimensional Bose systems. Both problems can be mapped to the sine-Gordon model. This mapping allows us to find power-law scalings for the number of excitations with the ramping rate in the regime where the conventional linear response approach fails. We show that the exponent of this power law is sensitive to the interaction strength. In particular, the response is larger, or less adiabatic, for strongly (weakly) interacting bosons for the loading (merging) problem. Our results illustrate that in general the nonlinear response to slow relevant perturbations can be a powerful tool for characterizing properties of interacting systems.

arXiv:0804.4003Physical Review LettersDec 2, 200854 citations

Thermodynamics of adiabatically loaded cold bosons in the Mott insulating phase of one-dimensional optical lattices

Kai Phillip Schmidt, Alexander Reischl, Götz Silvester Uhrig

Abstract.: In this work we give a consistent picture of the thermodynamic properties of bosons in the Mott insulating phase when loaded adiabatically into one-dimensional optical lattices. We find a crucial dependence of the temperature in the optical lattice on the doping level of the Mott insulator. In the undoped case, the temperature is of the order of the large onsite Hubbard interaction. In contrast, at a finite doping level the temperature jumps almost immediately to the order of the small hopping parameter. These two situations are investigated on the one hand by considering limiting cases like the atomic limit and the case of free fermions. On the other hand, they are examined using a quasi-particle conserving continuous unitary transformation extended by an approximate thermodynamics for hardcore particlesAbstract.: In this work we give a consistent picture of the thermodynamic properties of bosons in the Mott insulating phase when loaded adiabatically into one-dimensional optical lattices. We find a crucial dependence of the temperature in the optical lattice on the doping level of the Mott insulator. In the undoped case, the temperature is of the order of the large onsite Hubbard interaction. In contrast, at a finite doping level the temperature jumps almost immediately to the order of the small hopping parameter. These two situations are investigated on the one hand by considering limiting cases like the atomic limit and the case of free fermions. On the other hand, they are examined using a quasi-particle conserving continuous unitary transformation extended by an approximate thermodynamics for hardcore particles

Jun 18, 20185 citations

Interacting bosons in an optical lattice

C. Moseley, O. Fialko, K. Ziegler

Annalen der PhysikJun 23, 20080 citations

Adiabatic loading of a one dimensional system of interacting bosons into an optical lattice

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