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We study a discrete version of a biaxial nematic liquid crystal model with external fields via an approach based on the solution of differential identities for the partition function. In the thermodynamic limit, we derive the free energy of…

可精确求解与可积系统 · 物理学 2024-02-12 Giovanni De Matteis , Francesco Giglio , Antonio Moro

In two recent papers we have proposed a program of study which allows us to compute the correlation functions of local and semi-local fields in generalised $\mathrm{T}\bar{\mathrm{T}}$-deformed integrable quantum field theories. This new…

高能物理 - 理论 · 物理学 2023-06-21 Olalla A. Castro-Alvaredo , Stefano Negro , Fabio Sailis

The entanglement entropy of a subsystem of a quantum system is expressed, in the replica approach, through analytic continuation with respect to n of the trace of the n-th power of the reduced density matrix. This trace can be thought of as…

高能物理 - 理论 · 物理学 2008-12-18 Michele Caraglio , Ferdinando Gliozzi

The ground and low-lying collective states of a rotating system of $N=3$ bosons harmonically confined in quasi-two-dimension and interacting via repulsive finite-range Gaussian potential is studied in weakly to moderately interacting…

量子气体 · 物理学 2016-05-03 Mohd. Imran , M. A. H. Ahsan

This review was born as notes for a lecture given at the YRIS school on integrability in Durham, in the summer of 2015. It deals with a beautiful method, developed in the mid-nineties by V.V. Bazhanov, S.L. Lukyanov and A.B. Zamolodchikov…

数学物理 · 物理学 2016-07-26 Stefano Negro

The anomalous dimensions of local single trace gauge invariant operators in N=4 supersymmetric Yang-Mills theory can be computed by diagonalizing a long range integrable Hamiltonian by means of perturbative asymptotic Bethe ansatz. This…

高能物理 - 理论 · 物理学 2009-12-10 Joao Penedones , Pedro Vieira

We approach the study of non--integrable models of two--dimensional quantum field theory as perturbations of the integrable ones. By exploiting the knowledge of the exact $S$-matrix and Form Factors of the integrable field theories we…

高能物理 - 理论 · 物理学 2008-11-26 G. Delfino , G. Mussardo , P. Simonetti

We construct a replica technique to perturbatively compute the odd entanglement entropy (OEE) for bipartite mixed states in $\text{T}\bar{\text{T}}$ deformed CFT$_2$s. This framework is then utilized to obtain the leading order correction…

高能物理 - 理论 · 物理学 2023-12-21 Debarshi Basu , Saikat Biswas , Ankur Dey , Boudhayan Paul , Gautam Sengupta

We investigate the reflected entropy for bipartite mixed state configurations in a $T\bar{T}$ deformed boundary conformal field theory in $2$ dimensions (BCFT$_2$). The bulk dual is described by asymptotically AdS$_3$ geometries with the…

高能物理 - 理论 · 物理学 2025-07-01 Debarshi Basu , Himanshu Chourasiya , Ankur Dey , Vinayak Raj

This work presents the first lattice calculation of a two-to-two particle matrix element of a local current. This exploratory calculation is performed using a leading-order pionless effective field theory of two nucleons in a finite 3D…

The spectrum of the light-cone AdS_5 \times S^5 superstring contains states composed of particles with complex momenta including in particular those which turn into bound states in the decompactification limit. We propose the mirror TBA…

高能物理 - 理论 · 物理学 2015-06-19 Gleb Arutyunov , Sergey Frolov , Stijn J. van Tongeren

We generalize the nested off-diagonal Bethe ansatz method to study the quantum chain associated with the twisted $D^{(2)}_3$ algebra (or the $D^{(2)}_3$ model) with either periodic or integrable open boundary conditions. We obtain the…

数学物理 · 物理学 2022-03-28 Guang-Liang Li , Xiaotian Xu , Kun Hao , Pei Sun , Junpeng Cao , Wen-Li Yang , Kangjie Shi , Yupeng Wang

Tensor network methods as presented in our open source Matrix Product States software have opened up the possibility to study many-body quantum physics in one and quasi-one-dimensional systems in an easily accessible package similar to…

量子气体 · 物理学 2018-10-29 Daniel Jaschke , Lincoln D. Carr

Employing a variant of the Multicanonical Ensemble we study twisted spin configurations on periodic boxes in the $D=2$ $O(3)$ nonlinear sigma model for $\beta$-values inbetween $1.55$ to $3.1$. The free energy difference of twisted spin…

高能物理 - 格点 · 物理学 2007-05-23 T. Neuhaus

We obtain multiple exact results on the entanglement of the exact excited states of non-integrable models we introduced in arXiv:1708.05021. We first discuss a general formalism to analytically compute the entanglement spectra of exact…

强关联电子 · 物理学 2018-12-31 Sanjay Moudgalya , Nicolas Regnault , B. Andrei Bernevig

A class of (2+1)-dimensional quantum many body system characterized by an anisotropic scaling symmetry (Lifshitz symmetry) near their quantum critical point can be described by a (3+1)-dimensional dual gravity theory with negative…

高能物理 - 理论 · 物理学 2015-05-14 Somdeb Chakraborty , Parijat Dey , Sourav Karar , Shibaji Roy

We consider a massive relativistic Bose gas with $N$ complex scalars at finite density. At zero temperature, we calculate the pressure, charge density and the speed of sound in the one-loop approximation. In the nonrelativistic limit, we…

高能物理 - 唯象学 · 物理学 2007-05-23 Jens O. Andersen

These are lecture notes of an introduction to quantum integrability given at the Tenth Modave Summer School in Mathematical Physics, 2014, aimed at PhD candidates and junior researchers in theoretical physics. We introduce spin chains and…

数学物理 · 物理学 2018-06-26 J. Lamers

We compute higher order finite size corrections to the energies of the circular rotating string on AdS_5 x S^5, of its orbifolded generalization on AdS_5 x S^5/Z_M and of the winding state which is obtained as the limit of the orbifolded…

高能物理 - 理论 · 物理学 2014-11-18 Davide Astolfi , Gianluca Grignani , Troels Harmark , Marta Orselli

The Lebwohl-Lasher model of uniaxial liquid crystals with (\textit{n} = 3, \textit{d} = 2) was reported earlier to undergo a crossover transition to a novel nematic phase at a temperature $T=T_{n}$. This phase has unbound topological…

软凝聚态物质 · 物理学 2026-04-02 B. Kamala Latha , V. S. S. Sastry , S. R. Shenoy
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