scholarly journals CUMULATIVE MEASURE OF CORRELATION FOR MULTIPARTITE QUANTUM STATES

2014 ◽  
Vol 28 (07) ◽  
pp. 1450050 ◽  
Author(s):  
ANDRÉ L. FONSECA DE OLIVEIRA ◽  
EFRAIN BUKSMAN ◽  
JESÚS GARCÍA LÓPEZ DE LACALLE
Keyword(s):  
Phase Transitions ◽  
State Space ◽  
Present Article ◽  
Critical Points ◽  
Quantum Phase Transitions ◽  
The State ◽  
Quantum States ◽  
Quantum Phase ◽  
Mixed States ◽  
Different Dimensions

The present article proposes a measure of correlation for multiqubit mixed states. The measure is defined recursively, accumulating the correlation of the subspaces, making it simple to calculate without the use of regression. Unlike usual measures, the proposed measure is continuous additive and reflects the dimensionality of the state space, allowing to compare states with different dimensions. Examples show that the measure can signal critical points (CPs) in the analysis of Quantum Phase Transitions (QPTs) in Heisenberg models.

QUANTUM PHASE TRANSITIONS IN MESOSCOPIC SYSTEMS

2006 ◽  
Vol 20 (19) ◽  
pp. 2687-2694 ◽  
Author(s):  
F. IACHELLO
Keyword(s):  
Phase Transitions ◽  
Critical Points ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Mesoscopic Systems ◽  
Spectral Signatures

Shape phase transitions in nuclei, an example of quantum phase transitions in mesoscopic systems, are briefly reviewed. Spectral signatures of critical points in finite quantal systems are discussed and experimental examples are shown.

scholarly journals Symmetries at and Near Critical Points of Quantum Phase Transitions in Nuclei

2009 ◽  
Author(s):  
A. Leviatan ◽  
F. Iachello ◽  
Jan Jolie ◽  
Andreas Zilges ◽  
Nigel Warr ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Critical Points ◽  
Quantum Phase Transitions ◽  
Quantum Phase

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.

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