Mott insulating states and their quantum phase transitions of interacting spin-3/2 ultracold fermionic atoms on optical lattices

2011 ◽  
Vol 41 (4) ◽  
pp. 356-368
Author(s):  
GuangMing ZHANG ◽  
HongHao TU
Keyword(s):  
Phase Transitions ◽  
Optical Lattices ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Fermionic Atoms

scholarly journals Bragg Scattering as a Probe of Atomic Wave Functions and Quantum Phase Transitions in Optical Lattices

2011 ◽  
Vol 107 (17) ◽  
Author(s):  
Hirokazu Miyake ◽  
Georgios A. Siviloglou ◽  
Graciana Puentes ◽  
David E. Pritchard ◽  
Wolfgang Ketterle ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Optical Lattices ◽  
Quantum Phase Transitions ◽  
Wave Functions ◽  
Quantum Phase ◽  
Bragg Scattering ◽  
Atomic Wave

scholarly journals Quantum Phase Transition and Engineering in Two-Component BEC in Optical Lattices

2003 ◽  
Vol 17 (16) ◽  
pp. 847-852
Author(s):  
Yong-Shi Wu
Keyword(s):  
Phase Transitions ◽  
Quantum Coherence ◽  
Optical Lattices ◽  
Quantum Information Processing ◽  
Quantum Phase Transitions ◽  
Quantum States ◽  
Quantum Phase ◽  
Linear Superposition ◽  
Macroscopic Quantum ◽  
Two Component

In this paper we review recent progress in studying quantum phase transitions in one- and two-component Bose–Einstein condensates (BEC) in optical lattices. These phase transitions involve the emergence and disappearance of quantum coherence over the whole optical lattice and of linear superposition of macroscopic quantum states. The latter may provide new means to engineer and manipulate novel macroscopic quantum states and novel coherent atomic beams for quantum information processing, quantum computing and other purposes.

scholarly journals SUPERFLUID, STAGGERED STATE, AND MOTT INSULATOR OF REPULSIVELY INTERACTING THREE-COMPONENT FERMIONIC ATOMS IN OPTICAL LATTICES

2013 ◽  
Vol 27 (12) ◽  
pp. 1330008 ◽  
Author(s):  
KENSUKE INABA ◽  
SEI-ICHIRO SUGA
Keyword(s):  
Phase Transitions ◽  
Low Temperatures ◽  
Optical Lattices ◽  
Quantum Phase Transitions ◽  
Mott Transition ◽  
Temperature Phase ◽  
Superfluid State ◽  
Fermionic Atoms ◽  
Site Characteristic ◽  
Half Filling

We review our theoretical analysis of repulsively interacting three-component fermionic atoms in optical lattices. We discuss quantum phase transitions at around half filling with a balanced population by focusing on Mott transitions, staggered ordering, and superfluidity. At half filling (with 3/2 atoms per site), characteristic Mott transitions are induced by the anisotropic interactions, where two-particle repulsions between any two of the three colors have different strengths. At half filling, two types of staggered ordered states appear at low temperatures depending on the anisotropy of the interactions. As the temperature increases, phase transitions occur from the staggered ordered states to the unordered Mott states. Deviating from half filling, an exotic superfluid state appears close to a regime in which the Mott transition occurs. We explain the origin of these phase transitions and present the finite-temperature phase diagrams.

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