Entanglement of a 2-qubit system coupled to a bath of quantum spin glass

2014 ◽  
Vol 403 ◽  
pp. 54-64 ◽  
Author(s):  
C.Y. Koh ◽  
L.C. Kwek
Keyword(s):  
Spin Glass ◽  
Quantum Spin ◽  
Qubit System

Entanglement and quantum spin glass

2014 ◽  
Vol 28 (20) ◽  
pp. 1430012 ◽  
Author(s):  
C. Y. Koh
Keyword(s):  
Magnetic Field ◽  
Spin Glass ◽  
General Formula ◽  
Nearest Neighbor ◽  
Quantum Spin ◽  
Neighbor Interaction ◽  
Qubit System ◽  
J Coupling ◽  
Xx Model ◽  
Heisenberg Xx Model

The paper reviews the entanglement behavior of a 2-qubit system in a quantum spin glass using the Heisenberg XX model and the interaction of the system with a spin glass bath environment. In the first part, we study the entanglement (concurrence) for a 3- and 4-qubit with nearest neighbor interaction. With a fixed mean and varying standard deviation for the J coupling, the concurrence is numerically plotted with temperature for the different configurations. A general formula for the concurrence is given for n qubits at low temperature. In the second part, we study the concurrence of a 2-qubit system coupled to a spin glass bath environment with n = 2 to ≥ 4 qubits. The bath sites are coupled with random J coupling and varying applied magnetic field. A general formula for concurrence is given for mean J = 0 and B = 0 for n bath sites. For small random J and magnetic field B, a steady state is obtained with an approximate concurrence of 0.5, showing that the entanglement is preserved.

scholarly journals Linear and cubic dynamic susceptibilities in quantum spin glass

2001 ◽  
Vol 5 (3/4) ◽  
pp. 355-368
Author(s):  
G. Busiello ◽  
R. V. Saburova ◽  
V. G. Sushkova
Keyword(s):  
Spin Glass ◽  
Quantum Spin

Phase transitions in a programmable quantum spin glass simulator

Science ◽  
2018 ◽  
Vol 361 (6398) ◽  
pp. 162-165 ◽  
Author(s):  
R. Harris ◽  
Y. Sato ◽  
A. J. Berkley ◽  
M. Reis ◽  
F. Altomare ◽  
...  
Keyword(s):  
Phase Transitions ◽  
Spin Glass ◽  
Quantum Spin

First-order phase transition in the quantum spin glass at T=0

2003 ◽  
Vol 311 (6) ◽  
pp. 480-484 ◽  
Author(s):  
J.Roberto Viana ◽  
Yamilles Nogueira ◽  
J.Ricardo de Sousa
Keyword(s):  
Phase Transition ◽  
Spin Glass ◽  
Order Phase Transition ◽  
Quantum Spin ◽  
First Order ◽  
First Order Phase Transition ◽  
First Order Phase

scholarly journals Many-Body Mobility Edge in a Mean-Field Quantum Spin Glass

2014 ◽  
Vol 113 (20) ◽  
Author(s):  
C. R. Laumann ◽  
A. Pal ◽  
A. Scardicchio
Keyword(s):  
Spin Glass ◽  
Mean Field ◽  
Quantum Spin ◽  
Many Body ◽  
Mobility Edge

scholarly journals Ergodic and localized regions in quantum spin glasses on the Bethe lattice

2017 ◽  
Vol 375 (2108) ◽  
pp. 20160424 ◽  
Author(s):  
G. Mossi ◽  
A. Scardicchio
Keyword(s):  
Spin Glass ◽  
Spin Glasses ◽  
Quantum Dynamics ◽  
Bethe Lattice ◽  
Transverse Field ◽  
Quantum Systems ◽  
Quantum Spin ◽  
Many Body ◽  
Spin Glass Phase ◽  
Ising Spin

By considering the quantum dynamics of a transverse-field Ising spin glass on the Bethe lattice, we find the existence of a many-body localized (MBL) region at small transverse field and low temperature. The region is located within the thermodynamic spin glass phase. Accordingly, we conjecture that quantum dynamics inside the glassy region is split into a small MBL region and a large delocalized (but not necessarily ergodic) region. This has implications for the analysis of the performance of quantum adiabatic algorithms. This article is part of the themed issue ‘Breakdown of ergodicity in quantum systems: from solids to synthetic matter’.

Spherical Model for a Quantum Spin Glass

1995 ◽  
Vol 74 (23) ◽  
pp. 4584-4587 ◽  
Author(s):  
John W. Hartman ◽  
Peter B. Weichman
Keyword(s):  
Spin Glass ◽  
Spherical Model ◽  
Quantum Spin
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