scholarly journals Entanglement entropy of the low-lying excited states and critical properties of an exactly solvable two-leg spin ladder with three-spin interactions

2012 ◽  
Vol 86 (6) ◽  
Author(s):  
D. Eloy ◽  
J. C. Xavier
Keyword(s):  
Excited States ◽  
Entanglement Entropy ◽  
Spin Ladder ◽  
Critical Properties ◽  
Spin Interactions ◽  
Exactly Solvable

scholarly journals Entanglement temperature and entanglement entropy of excited states

2013 ◽  
Vol 2013 (12) ◽  
Author(s):  
Gabriel Wong ◽  
Israel Klich ◽  
Leopoldo A. Pando Zayas ◽  
Diana Vaman
Keyword(s):  
Excited States ◽  
Entanglement Entropy

EIGENENERGIES FOR THE RAZAVY POTENTIAL V(x) = (ζ cosh 2x-M)2 USING THE ASYMPTOTIC ITERATION METHOD

2007 ◽  
Vol 22 (22) ◽  
pp. 1677-1684 ◽  
Author(s):  
A. J. SOUS
Keyword(s):  
Excited States ◽  
Iteration Method ◽  
Asymptotic Iteration Method ◽  
Arbitrary Parameter ◽  
Exactly Solvable

By using the asymptotic iteration method, we have calculated numerically the eigenenergies En of Razavy potential V(x) = (ζ cosh 2x-M)2. The calculated eigenenergies are identical with known values in the literature. Finally, the non-quasi-exactly solvable eigenenergies of Razavy potential for the highest excited states are numerically determined. Some new results for arbitrary parameter M also presented.

Thermal Entanglement Entropy Signature of Spin-Peierls Transition in Dimerized Isotropic XY Chain with Multi-Spin Interactions

2014 ◽  
Vol 1021 ◽  
pp. 46-51
Author(s):  
Hai Lin Huang ◽  
Lin Jie Ding ◽  
Zhao Yu Sun
Keyword(s):  
Green's Function ◽  
Finite Temperature ◽  
Function Theory ◽  
Critical Phenomenon ◽  
Entanglement Entropy ◽  
Spin Interaction ◽  
Thermal Entanglement ◽  
Spin Interactions ◽  
Wigner Transformation ◽  
Peierls Transition

The finite-temperature entanglement entropy for an alternating spin-1/2 chain with multi-spin interactions is investigated by means of Green’s function theory combined with Jordan-Wigner transformation, to identify the spin-Peierls (SP) transition. It is found that the two-site thermal entanglement entropy is a useful tool to characterize theSPtransition. In addition, the competition between multi-spin interaction and Peierls-dimerization plays a central role in the critical phenomenon of the system.

scholarly journals Entanglement entropy in excited states of the quantum Lifshitz model

2017 ◽  
Vol 50 (25) ◽  
pp. 254003 ◽  
Author(s):  
Daniel E Parker ◽  
Romain Vasseur ◽  
Joel E Moore
Keyword(s):  
Excited States ◽  
Entanglement Entropy

scholarly journals Symmetry-resolved entanglement for excited states and two entangling intervals in AdS3/CFT2

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Konstantin Weisenberger ◽  
Suting Zhao ◽  
Christian Northe ◽  
René Meyer
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Excited States ◽  
Vertex Operator Algebra ◽  
Central Charge ◽  
Entanglement Entropy ◽  
Conformal Field Theories ◽  
Conformal Field ◽  
Chern Simons ◽  
Twist Fields

Abstract We test the proposal of [1] for the holographic computation of the charged moments and the resulting symmetry-resolved entanglement entropy in different excited states, as well as for two entangling intervals. Our holographic computations are performed in U(1) Chern-Simons-Einstein-Hilbert gravity, and are confirmed by independent results in a conformal field theory at large central charge. In particular, we consider two classes of excited states, corresponding to charged and uncharged conical defects in AdS3. In the conformal field theory, these states are generated by the insertion of charged and uncharged heavy operators. We employ the monodromy method to calculate the ensuing four-point function between the heavy operators and the twist fields. For the two-interval case, we derive our results on the AdS and the conformal field theory side, respectively, from the generating function method of [1], as well as the vertex operator algebra. In all cases considered, we find equipartition of entanglement between the different charge sectors. We also clarify an aspect of conformal field theories with a large central charge and $$ \hat{\mathfrak{u}}{(1)}_k $$ u ̂ 1 k Kac-Moody symmetry used in our calculations, namely the factorization of the Hilbert space into a gravitational Virasoro sector with large central charge, and a $$ \hat{\mathfrak{u}}{(1)}_k $$ u ̂ 1 k Kac-Moody sector.

scholarly journals Thermodynamical Property of Entanglement Entropy for Excited States

2013 ◽  
Vol 110 (9) ◽  
Author(s):  
Jyotirmoy Bhattacharya ◽  
Masahiro Nozaki ◽  
Tadashi Takayanagi ◽  
Tomonori Ugajin
Keyword(s):  
Excited States ◽  
Entanglement Entropy ◽  
Thermodynamical Property

scholarly journals Exactly solvable spin chain models corresponding to BDI class of topological superconductors

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
S. A. Jafari ◽  
Farhad Shahbazi
Keyword(s):  
Time Reversal ◽  
Solvable Models ◽  
Topological Superconductors ◽  
Spin Interactions ◽  
Detailed Classification ◽  
Exactly Solvable ◽  
Solvable Extension ◽  
Xy Chain ◽  
Topological Phase Transitions

Abstract We present an exactly solvable extension of the quantum XY chain with longer range multi-spin interactions. Topological phase transitions of the model are classified in terms of the number of Majorana zero modes, n M which are in turn related to an integer winding number, n W . The present class of exactly solvable models belong to the BDI class in the Altland-Zirnbauer classification of topological superconductors. We show that time reversal symmetry of the spin variables translates into a sliding particle-hole (PH) transformation in the language of Jordan-Wigner fermions – a PH transformation followed by a π shift in the wave vector which we call it the πPH. Presence of πPH symmetry restricts the n W (n M ) of time-reversal symmetric extensions of XY to odd (even) integers. The πPH operator may serve in further detailed classification of topological superconductors in higher dimensions as well.

scholarly journals Entanglement entropy of excited states

2009 ◽  
Vol 2009 (10) ◽  
pp. P10020 ◽  
Author(s):  
Vincenzo Alba ◽  
Maurizio Fagotti ◽  
Pasquale Calabrese
Keyword(s):  
Excited States ◽  
Entanglement Entropy
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