scholarly journals Dynamical quantum phase transitions in a spin chain with deconfined quantum critical points

2020 ◽  
Vol 102 (9) ◽  
Author(s):  
Gaoyong Sun ◽  
Bo-Bo Wei
Keyword(s):  
Phase Transitions ◽  
Critical Points ◽  
Spin Chain ◽  
Quantum Phase Transitions ◽  
Quantum Phase ◽  
Quantum Critical Points ◽  
Quantum Critical

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

Momentum space Z 2 number, quantized Berry phase and the quantum phase transitions in spin chain systems

2012 ◽  
Vol 100 (6) ◽  
pp. 60001 ◽  
Author(s):  
Yu-Quan Ma ◽  
Zhao-Xian Yu ◽  
Deng-Shan Wang ◽  
Bing-Hao Xie ◽  
Xiang-Gui Li
Keyword(s):  
Phase Transitions ◽  
Momentum Space ◽  
Spin Chain ◽  
Berry Phase ◽  
Quantum Phase Transitions ◽  
Quantum Phase

scholarly journals QUENCHING DYNAMICS AND QUANTUM INFORMATION

2012 ◽  
Vol 27 (01n03) ◽  
pp. 1345036 ◽  
Author(s):  
TANAY NAG ◽  
AMIT DUTTA ◽  
AYOTI PATRA
Keyword(s):  
Critical Points ◽  
Spin Chain ◽  
Quantum Discord ◽  
Closed Form Expression ◽  
Spin Interaction ◽  
Qualitative Behavior ◽  
Final State ◽  
Quantum Critical Points ◽  
Xy Spin Chain ◽  
Quantum Critical

We review recent studies on the measures of zero temperature quantum correlations namely, the quantum entanglement (concurrence) and discord present in the final state of a transverse XY spin chain following a quench through quantum critical points; the aim of these studies is to explore the scaling of the above quantities as a function of the quench rate. A comparative study between the concurrence and the quantum discord shows that their behavior is qualitatively the same though there are quantitative differences. For the present model, the scaling of both the quantities are given by the scaling of the density of the defect present in the final state though one cannot find a closed form expression for the discord. We also extend our study of quantum discord to a transverse Ising chain in the presence of a three spin interaction. Finally, we present a study of the dynamical evolution of quantum discord and concurrence when two central qubits, initially prepared in a Werner state, are coupled to the environmental XY spin chain which is driven through quantum critical points. The qualitative behavior of quantum discord and concurrence are found to be similar as that of the decoherence factor.

scholarly journals Quantum critical dynamics in a spinor Hubbard model quantum simulator

2021 ◽  
Vol 4 (1) ◽  
Author(s):  
Jared O. Austin ◽  
Zihe Chen ◽  
Zachary N. Shaw ◽  
Khan W. Mahmud ◽  
Yingmei Liu
Keyword(s):  
Phase Transitions ◽  
Hubbard Model ◽  
Quantum Phase Transitions ◽  
Three Dimensional ◽  
Quantum Phase ◽  
Critical Dynamics ◽  
Scaling Effects ◽  
Many Body ◽  
Quantum Simulator ◽  
Quantum Critical

AbstractThree-dimensional (3D) strongly correlated many-body systems, especially their dynamics across quantum phase transitions, are prohibitively difficult to be numerically simulated. We experimentally demonstrate that such complex many-body dynamics can be efficiently studied in a 3D spinor Bose–Hubbard model quantum simulator, consisting of antiferromagnetic spinor Bose–Einstein condensates confined in cubic optical lattices. We find dynamics and scaling effects beyond the scope of existing theories at superfluid–insulator quantum phase transitions, and highlight spin populations as a good observable to probe the quantum critical dynamics. Our data indicate that the scaling exponents are independent of the nature of the quantum phase transitions. We also conduct numerical simulations in lower dimensions using time-dependent Gutzwiller approximations, which qualitatively describe our observations.

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