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Goldstone's theorem states that there is a massless mode for each broken symmetry generator. It has been known for a long time that the naive generalization of this counting fails to give the correct number of massless modes for…

High Energy Physics - Theory · Physics 2009-11-07 Ian Low , Aneesh V. Manohar

We consider a system of two coupled Tomonaga-Luttinger liquids (TLL) on parallel chains and study the Renyi entanglement entropy $S_n$ between the two chains. Here the entanglement cut is introduced between the chains, not along the…

Strongly Correlated Electrons · Physics 2013-03-08 Shunsuke Furukawa , Yong Baek Kim

In this paper, we study the entanglement entropy of a single interval on a cylinder in two-dimensional $T\overline{T}$-deformed conformal field theory. For such case, the (R\'enyi) entanglement entropy takes a universal form in a CFT. We…

High Energy Physics - Theory · Physics 2018-11-07 Bin Chen , Lin Chen , Peng-xiang Hao

Entropy is a quantity for counting physical degrees of freedom in a system. At a finite temperature, one can use thermal entropy to study thermodynamical properties. At zero temperature, entanglement entropy is expected to provide a…

High Energy Physics - Theory · Physics 2018-10-29 Chen-Te Ma

In this work we study the time evolution of Renyi entanglement entropy for locally excited states created by twist operators in cyclic orbifold $(T^2)^n/\mathbb{Z}_n$ and symmetric orbifold $(T^2)^n/S_n$. We find that when the square of its…

High Energy Physics - Theory · Physics 2017-05-30 Pawel Caputa , Yuya Kusuki , Tadashi Takayanagi , Kento Watanabe

The notion of typicality in statistical mechanics is essential to characterize a macroscopic system. An overwhelming majority of the pure state looks almost identical if we neglect macroscopic non-local correlations, suggesting that thermal…

Statistical Mechanics · Physics 2022-04-26 Koji Yamaguchi

We develop a unified framework for computing R\'enyi and entanglement entropies of arbitrary spacetime intervals in time-dependent states of $(1+1)$-dimensional conformal field theories. By combining the spacetime density matrix formalism…

High Energy Physics - Theory · Physics 2026-01-01 Wu-zhong Guo , Song He , Tao Liu

We investigate the entanglement properties of the Quantum Six-Vertex Model on a cylinder, focusing on the Shannon-Renyi entropy in the limit of Renyi order $n = \infty$. This entropy, calculated from the ground state amplitudes of the…

Quantum Physics · Physics 2026-03-19 Sunny Pradhan , Jesús Cobos , Enrique Rico , Germán Sierra

The role of symmetries in what concerns entanglement entropy has been extensively explored in the last years and revealed a profound connection with the quantum field theory's algebraic structure. Recently, it was found that some universal…

High Energy Physics - Theory · Physics 2022-07-13 Marina Huerta , Guido van der Velde

We adapt the Goldstone theorem to study spontaneous symmetry breaking in relativistic theo- ries at finite charge density. It is customary to treat systems at finite density via non-relativistic Hamiltonians. Here we highlight the…

High Energy Physics - Theory · Physics 2013-01-10 Alberto Nicolis , Federico Piazza

A comprehensive investigation of the entanglement characteristics is carried out on tripartite spin-1/2 systems, examining prototypical tripartite states, the thermal Heisenberg model, and the transverse field Ising model. The entanglement…

Quantum Physics · Physics 2024-11-05 Marwa Mannaï , Hisham Sati , Tim Byrnes , Chandrashekar Radhakrishnan

The Gibbs sampler (a.k.a. Glauber dynamics and heat-bath algorithm) is a popular Markov Chain Monte Carlo algorithm which iteratively samples from the conditional distributions of a probability measure $\pi$ of interest. Under the…

Probability · Mathematics 2026-01-21 Filippo Ascolani , Hugo Lavenant , Giacomo Zanella

Using the AdS/CFT correspondence, we examine entanglement entropy for a boundary theory deformed by a relevant operator and establish two results. The first is that if there is a contribution which is logarithmic in the UV cut-off, then the…

High Energy Physics - Theory · Physics 2012-11-07 Ling-Yan Hung , Robert C. Myers , Michael Smolkin

We study multi-charged moments and symmetry-resolved R\'enyi entropy of free compact boson for multiple disjoint intervals. The R\'enyi entropy evaluation involves computing the partition function of the theory on Riemann surfaces with…

High Energy Physics - Theory · Physics 2024-01-11 Himanshu Gaur , Urjit A. Yajnik

Entanglement entropy under a particle bipartition provides complementary information to mode entanglement as it is sensitive to interactions and particle statistics at leading order and does not depend on any externally imposed length…

Momentum space entanglement entropy probes quantum correlations in interacting fermionic phases. It is very sensitive to interactions, obeying volume-law scaling in general, while vanishing in the Fermi gas. We show that the R\'enyi entropy…

Strongly Correlated Electrons · Physics 2023-02-21 Michael O. Flynn , Long-Hin Tang , Anushya Chandran , Chris R. Laumann

We introduce entropic measures to quantify non-classical resource in hybrid spin-boson systems. We discuss the stabilizer R\'enyi entropy in the framework of phase space quantisation and define an analogous hybrid magic entropy and a mutual…

Strongly Correlated Electrons · Physics 2025-08-11 Samuel Crew , Ying-Lin Li , Heng-Hsi Li , Po-Yao Chang

Entanglement is the key feature of many-body quantum systems, and the development of new tools to probe it in the laboratory is an outstanding challenge. Measuring the entropy of different partitions of a quantum system provides a way to…

Here we show the connection between topological order and the geometric entanglement, as measured by the logarithm of the overlap between a given state and its closest product state of blocks, for the topological universality class of the…

Strongly Correlated Electrons · Physics 2012-05-11 Roman Orus , Tzu-Chieh Wei

We study the R\'enyi entropies in the spin-$1/2$ anisotropic Heisenberg chain after a quantum quench starting from the N\'eel state. The quench action method allows us to obtain the stationary R\'enyi entropies for arbitrary values of the…

Statistical Mechanics · Physics 2018-11-13 Vincenzo Alba , Pasquale Calabrese