scholarly journals Ising ferromagnet to valence bond solid transition in a one-dimensional spin chain: Analogies to deconfined quantum critical points

2019 ◽  
Vol 99 (7) ◽  
Author(s):  
Shenghan Jiang ◽  
Olexei Motrunich
Keyword(s):  
Critical Points ◽  
Spin Chain ◽  
Valence Bond ◽  
Quantum Critical Points ◽  
Ising Ferromagnet ◽  
One Dimensional ◽  
Quantum Critical ◽  
Valence Bond Solid

scholarly journals UNCONVENTIONAL QUANTUM CRITICAL POINTS

2012 ◽  
Vol 26 (18) ◽  
pp. 1230007 ◽  
Author(s):  
CENKE XU
Keyword(s):  
Critical Points ◽  
Solid Phase ◽  
Valence Bond ◽  
Universality Class ◽  
Frustrated Magnets ◽  
Topological Order ◽  
Quantum Critical Points ◽  
Second Order Transition ◽  
Quantum Critical ◽  
Valence Bond Solid

In this paper we review the theory of unconventional quantum critical points that are beyond the Landau's paradigm. Three types of unconventional QCPs will be discussed: (1) The transition between topological order and semiclassical spin ordered phase; (2) The transition between topological order and valence bond solid phase; (3) The direct second order transition between different competing orders. We focus on the field theory and universality class of these unconventional QCPs. Relation of these QCPs with recent numerical simulations and experiments on quantum frustrated magnets are also discussed.

scholarly journals Theory of Finite-Entanglement Scaling at One-Dimensional Quantum Critical Points

2009 ◽  
Vol 102 (25) ◽  
Author(s):  
Frank Pollmann ◽  
Subroto Mukerjee ◽  
Ari M. Turner ◽  
Joel E. Moore
Keyword(s):  
Critical Points ◽  
Quantum Critical Points ◽  
One Dimensional ◽  
Quantum Critical

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 points in ferroelectric relaxors: Stuffed tungsten bronze K3Li2Ta5O15 and lead pyrochlore ( Pb2Nb2O7 )

2018 ◽  
Vol 2 (8) ◽  
Author(s):  
Rebecca M. Smith ◽  
Jonathan Gardner ◽  
Finlay D. Morrison ◽  
S. E. Rowley ◽  
Catarina Ferraz ◽  
...  
Keyword(s):  
Critical Points ◽  
Tungsten Bronze ◽  
Quantum Critical Points ◽  
Ferroelectric Relaxors ◽  
Quantum Critical
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