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Conformal field theories in curved backgrounds have been used to describe inhomogeneous one-dimensional systems, such as quantum gases in trapping potentials and non-equilibrium spin chains. This approach provided, in a elegant and simple…

Statistical Mechanics · Physics 2019-03-26 Sara Murciano , Paola Ruggiero , Pasquale Calabrese

In this paper, we discuss the entanglement phase transition of pseudo entropy in CFTs. We focus on the case where the in-state and the out-state are different boundary states related by boundary condition changing operators. We compute the…

High Energy Physics - Theory · Physics 2026-03-13 Hiroki Kanda , Tadashi Takayanagi , Zixia Wei

We study dynamics of quantum entanglement in smooth global quenches with a finite rate, by computing the time evolution of entanglement entropy in 1 + 1 dimensional free scalar theory with time-dependent masses which start from a nonzero…

High Energy Physics - Theory · Physics 2018-01-15 Mitsuhiro Nishida , Masahiro Nozaki , Yuji Sugimoto , Akio Tomiya

We introduce a pseudo entropy extension of topological entanglement entropy called topological pseudo entropy. Various examples of the topological pseudo entropies are examined in three-dimensional Chern-Simons gauge theory with Wilson loop…

High Energy Physics - Theory · Physics 2021-09-08 Tatsuma Nishioka , Tadashi Takayanagi , Yusuke Taki

In analogy to the first law of thermodynamics, the increase in entanglement entropy $\delta S$ of a conformal field theory (CFT) is proportional to the increase in energy, $\delta E$, of the subsystem divided by an effective entanglement…

High Energy Physics - Theory · Physics 2016-07-13 G. C. Levine , B. Caravan

A quantum coordinate-entropy formulated in quantum phase space has been recently proposed together with an entropy law that asserts that such entropy can not decrease over time. The coordinate-entropy is dimensionless, a relativistic…

Quantum Physics · Physics 2022-05-17 Davi Geiger , Zvi M. Kedem

Three-dimensional conformal field theories (CFTs) of deconfined gauge fields coupled to gapless flavors of fermionic and bosonic matter describe quantum critical points of condensed matter systems in two spatial dimensions. An important…

High Energy Physics - Theory · Physics 2012-05-15 Igor R. Klebanov , Silviu S. Pufu , Subir Sachdev , Benjamin R. Safdi

We study the out-of-equilibrium time evolution after a local quench connecting two anisotropic spin-1/2 XXZ Heisenberg open chains via an impurity bond. The dynamics is obtained by means of the adaptive time-dependent density-matrix…

Statistical Mechanics · Physics 2013-04-11 Mario Collura , Pasquale Calabrese

We study the time evolution of Renyi entanglement entropy for locally excited states in two dimensional large central charge CFTs. It generically shows a logarithmical growth and we compute the coefficient of $\log t$ term. Our analysis…

High Energy Physics - Theory · Physics 2018-03-14 Yuya Kusuki , Tadashi Takayanagi

In this note, we use entanglement entropy as a tool to explore the universal properties of CFTs dual to extremal BTZ black holes. We demonstrate that the entanglement entropies computed in the CFTs at the boundary of the extremal BTZ and…

High Energy Physics - Theory · Physics 2014-02-26 Pawel Caputa , Vishnu Jejjala , Hesam Soltanpanahi

We examine the behavior of the entanglement asymmetry in the ground state of a (1+1)-dimensional conformal field theory with a boundary condition that explicitly breaks a bulk symmetry. Our focus is on the asymmetry of a subsystem $A$…

High Energy Physics - Theory · Physics 2024-11-25 Michele Fossati , Colin Rylands , Pasquale Calabrese

We study the critical behavior and the ground-state entanglement of a large class of $\mathrm{su}(1|1)$ supersymmetric spin chains with a general (not necessarily monotonic) dispersion relation. We show that this class includes several…

We study the time evolution of the entanglement entropy in the short and long-range coupled harmonic oscillators that have well-defined continuum limit field theories. We first introduce a method to calculate the entanglement evolution in…

Statistical Mechanics · Physics 2015-03-30 M. Ghasemi Nezhadhaghighi , M. A. Rajabpour

We study the symmetry resolved entanglement entropies in one-dimensional systems with boundaries. We provide some general results for conformal invariant theories and then move to a semi-infinite chain of free fermions. We consider both an…

Statistical Mechanics · Physics 2021-09-30 Riccarda Bonsignori , Pasquale Calabrese

The interplay between non-trivial band topology and strong electronic correlations is a central challenge in modern condensed matter physics. We investigate this competition on a two-leg ladder model with a p-wave-like hybridisation between…

Strongly Correlated Electrons · Physics 2025-11-13 Aminul Hussain , Nisa Ara , Rudranil Basu , Sudeshna Sen

Time-dependent entanglement entropy (EE) is computed for a single interval in two-dimensional conformal theories from a quenched initial state in the presence of spatial boundaries. The EE is found to be periodic in time with periodicity…

High Energy Physics - Theory · Physics 2016-04-28 Gautam Mandal , Ritam Sinha , Tomonori Ugajin

Understanding the mechanisms by which complex correlations emerge through the dynamics of quantum many-body systems remains a fundamental challenge in modern physics. To address this, quench dynamics starting from nonthermal states have…

High Energy Physics - Theory · Physics 2026-05-22 Zixia Wei , Yasushi Yoneta

We show that in any relativistic system, entanglement entropy obeys a speed limit set by the entanglement in thermal equilibrium. The bound is derived from inequalities on relative entropy with respect to a thermal reference state. Thus the…

High Energy Physics - Theory · Physics 2015-12-10 Thomas Hartman , Nima Afkhami-Jeddi

After quantum quenches in many-body systems, finite subsystems evolve non-trivially in time, eventually approaching a stationary state. In typical situations, the reduced density matrix of a given subsystem begins and ends this endeavour as…

Statistical Mechanics · Physics 2021-11-16 Isaac Reid , Bruno Bertini

We discuss the behaviour of holographic entanglement entropy following a local quench in 2+1 dimensional strongly coupled CFTs. The entanglement generated by the quench propagates along an emergent light-cone, reminiscent of the…

High Energy Physics - Theory · Physics 2016-05-04 Mukund Rangamani , Moshe Rozali , Alexandre Vincart-Emard