Rényi entropy and parity oscillations of anisotropic spin-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:math>Heisenberg chains in a magnetic field

Xavier, J. C.; Alcaraz, Francisco C.

doi:10.1103/physrevb.83.214425

Cited by 42 publications

(65 citation statements)

References 57 publications

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“…(33) without any adjustable parameter. These corrections of the form N −2/α correspond to the −2/α corrections found within conformal field theory [37], that have already been generalized to other situations, such as massive field theories [38], confined systems [39], disordered models [40] and have been carefully checked numerically in many different models [20,41,22]. Subleading corrections to the scaling are visible in Fig.…”

Section: Corrections To the Asymptotic Behavior And Universal Fss In mentioning

confidence: 95%

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The entanglement entropy of one-dimensional systems in continuous and homogeneous space

Calabrese¹,

Mintchev²,

Vicari³

2011

J. Stat. Mech.

128

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Abstract.We introduce a systematic framework to calculate the bipartite entanglement entropy of a compact spatial subsystem in a one-dimensional quantum gas which can be mapped into a noninteracting fermion system. We show that when working with a finite number of particles N , the Rényi entanglement entropies grow as ln N , with a prefactor that is given by the central charge. We apply this novel technique to the ground state and to excited states of periodic systems. We also consider systems with boundaries. We derive universal formulas for the leading behavior and for subleading corrections to the scaling. The universality of the results allows us to make predictions for the finite-size scaling forms of the corrections to the scaling.arXiv:1107.3985v2 [cond-mat.stat-mech]

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Section: Corrections To the Asymptotic Behavior And Universal Fss In mentioning

confidence: 95%

“…The degree of universality of these results allows to us to make novel predictions for spin chains on some universal functions describing the corrections to the scaling. The determination of these functions was left as open problem by previous lattice investigations [20,21,22]. …”

Section: Introductionmentioning

confidence: 99%

The entanglement entropy of one-dimensional systems in continuous and homogeneous space

Calabrese¹,

Mintchev²,

Vicari³

2011

J. Stat. Mech.

128

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“…Moreover, the regions ℑ w ≶ 0 are mapped into the regions ℑ ζ ≷ 0. The points (0, −∞) and (0, ∞), appearing in equation (26) correspond to the coordinates w ∞ = −i∞ and w ′ ∞ = i∞, and, by equation (27), to the ζ-coordinates (see fig 4) w…”

Section: Cft Approach To the Entropy Of Primary Fieldsmentioning

confidence: 99%

“…For the ground state, the deviation with respect to the CFT prediction (2), S CFT n , takes the universal form [9,26,27]:…”

Section: Universality Of Rényi Entropy Oscillationsmentioning

confidence: 99%

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Entanglement of excited states in critical spin chains

Ibáñez-Berganza¹,

Alcaraz²,

Sierra³

2012

J. Stat. Mech.

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Rényi and von Neumann entropies quantifying the amount of entanglement in ground states of critical spin chains are known to satisfy a universal law which is given by the Conformal Field Theory (CFT) describing their scaling regime. This law can be generalized to excitations described by primary fields in CFT, as was done in reference [1], of which this work is a completion. An alternative derivation is presented, together with numerical verifications of our results in different models belonging to the c = 1, 1/2 universality classes. Oscillations of the Rényi entropy in excited states and descendant fields are also discussed.

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Gravitational phase transition mediated by thermalon in Einstein-Gauss-Bonnet-Maxwell-Kalb-Ramond gravity

Samart

Channuie

2020

J. High Energ. Phys.

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In this work, we study the possible existence of gravitational phase transition from AdS to dS asymptotic geometries in Einstein-Gauss-Bonnet gravity by adding the Maxwell one-form field (A µ) and the Kalb-Ramond two-form field (B µν) as impurity substitutions. The phase transitions proceed via the bubble nucleation of spherical thin-shells described by different branches of the solutions which host a dS black hole in the interior and asymptotic thermal AdS state in the exterior. We analyze the phase diagrams of the free energy and temperature to demonstrate the existence of the phase transitions in the grand canonical ensemble (fixed electrical potential). The phase transitions of having the one-form and two-form charges are possible in which the critical temperature is lower than that of the neutral case. Comparing results with existing literature, more importantly, our analyses show that the critical temperature and the Gauss-Bonnet coupling λ of the phase transitions get decreased by adding more types of the charges.

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Rényi entropy and parity oscillations of anisotropic spin-sHeisenberg chains in a magnetic field

Cited by 42 publications

References 57 publications

The entanglement entropy of one-dimensional systems in continuous and homogeneous space

The entanglement entropy of one-dimensional systems in continuous and homogeneous space

Entanglement of excited states in critical spin chains

Gravitational phase transition mediated by thermalon in Einstein-Gauss-Bonnet-Maxwell-Kalb-Ramond gravity

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