Article
Mechanics
Peter Reimann
Summary: The observable long-time behavior of an isolated many-body system after a quantum quench is studied, and it is found that for common spin Hamiltonians, there is an absence of thermalization. The pre-quench Hamiltonian must exhibit a Z (2) symmetry, while the post-quench Hamiltonian must violate this symmetry.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2021)
Article
Materials Science, Multidisciplinary
Gilles Parez, Riccarda Bonsignori, Pasquale Calabrese
Summary: The time evolution of entanglement entropy is crucial for understanding the structure of nonequilibrium quantum states, often described by moving quasiparticles spreading entanglement. Studies using examples from conformal field theories and free fermion chains suggest that the quasiparticle picture can be adapted to understand how entanglement splits in systems with internal local symmetry. Physically relevant effects, such as delay time for onset of charged entropies and effective equipartition, can be easily observed in atomic experiments.
Article
Mechanics
Stefano Scopa, David X. Horvath
Summary: The study investigates the non-equilibrium dynamics of symmetry-resolved Renyi entropies in a one-dimensional gas of non-interacting spinless fermions using quantum generalised hydrodynamics. The research shows an asymptotic logarithmic growth of charged moments at half system and an asymptotic restoration of equipartition of entropy among symmetry sectors with deviations proportional to the square of the inverse of the total entropy as time and the entangling position change.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2022)
Review
Physics, Multidisciplinary
Henriette Elvang
Summary: This article introduces two highly active research programs, conformal Bootstrap and scattering amplitudes, focusing on the common ideas and methods shared by these two programs, and exploring the possibility of consistent quantum field theories.
REPORTS ON PROGRESS IN PHYSICS
(2021)
Article
Physics, Multidisciplinary
Xiao-Qiang Su, Zong-Ju Xu, You-Quan Zhao
Summary: Exploring the role of entanglement in quantum nonequilibrium dynamics is important to understand the mechanism of thermalization in an isolated system. We study the relaxation dynamics in a one-dimensional extended Bose-Hubbard model after a global interaction quench by considering several observables: the local Boson numbers, the nonlocal entanglement entropy, and the momentum distribution functions. The results show that the degree of thermalization is affected by the distance from the integrable point and the size of the subsystem. The Pearson coefficient is employed to measure the correlation between the entanglement entropy and thermalization fidelity, and a strong correlation is demonstrated for the quenched system.
Review
Physics, Multidisciplinary
Claudio Coriano, Matteo Maria Maglio
Summary: This article provides an overview of conformal field theories in coordinate space, focusing on the solution of conformal constraints for three- and four-point functions in momentum space. The study discusses the characteristics of correlators containing stress-energy tensors, conserved currents, and scalar operators, along with anomalies and dual conformal solutions identified by CWIs. Perturbative realizations of CFTs at one-loop are also explored, offering insights into the general solutions identified by CWIs for various operators.
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
(2022)
Article
Multidisciplinary Sciences
Sayantan Choudhury, Rakshit Mandish Gharat, Saptarshi Mandal, Nilesh Pandey
Summary: In this work, we investigate the impact of quantum quenching on the circuit complexity of quenched quantum field theory with weakly coupled quartic interactions. By using the invariant operator method under a perturbative framework, we compute the ground state of this system and provide analytical expressions for specific reference and target states. Additionally, we analytically compute the circuit complexity for the quenched and interacting field theory using a particular cost functional, and numerically estimate the circuit complexity with respect to the quench rate, dt, for two coupled oscillators. We also comment on the variation in circuit complexity for different coupling strengths, numbers of oscillators, and dimensions.
Article
Computer Science, Interdisciplinary Applications
D. X. Horvth, K. Hdsgi, G. Takcs
Summary: The Truncated Conformal Space Approach (TCSA) is an efficient method for computing spectra, operator matrix elements, and time evolution in quantum field theories. The Chirally Factorised TCSA (CFTCSA) algorithm improves the truncation level and allows for more precise calculations and larger Hilbert space dimensions.
COMPUTER PHYSICS COMMUNICATIONS
(2022)
Article
Materials Science, Multidisciplinary
Matthias Thamm, Harini Radhakrishnan, Hatem Barghathi, Bernd Rosenow, Adrian Del Maestro
Summary: This paper studies the entanglement entropy of spinless, interacting fermions both at equilibrium and after an interaction quantum quench. The results are obtained through numerical calculations and analysis, providing insights into the properties and dynamics of entanglement.
Article
Physics, Particles & Fields
Christopher P. Herzog, Abhay Shrestha
Summary: This paper introduces a practical tool for investigating two-point correlation functions in defect conformal field theory and provides an alternative method for dealing with complex tensor situations. The paper also includes examples and analyzes constraints arising from conservation and equations of motion.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Materials Science, Multidisciplinary
HaRu K. Park, Sung Bin Lee
Summary: The PXP model exhibits quantum many-body scars, which lead to periodic revival of wave function fidelity. In this study, we investigate how periodic driving in the PXP model can control the fidelity revival. We focus on a product state called the Neel state and analyze the condition of driving to enhance the magnitude or change the frequencies of revival. We find that the quantum fidelity features in the PXP model can be well explained by the free spin-1/2 model, and an analytic approach is also applied to explain the main features of the fidelity revival.
Article
Physics, Multidisciplinary
Elmer Guardado-Sanchez, Benjamin M. Spar, Peter Schauss, Ron Belyansky, Jeremy T. Young, Przemyslaw Bienias, Alexey Gorshkov, Thomas Iadecola, Waseem S. Bakr
Summary: We induce strong nonlocal interactions in a 2D Fermi gas in an optical lattice using Rydberg dressing, measure the interactions, and study the lifetime of the gas in the presence of tunneling, finding that tunneling does not reduce the lifetime. Investigating the interplay of nonlocal interactions with tunneling, we find that strong nearest-neighbor interactions slow down the relaxation dynamics of charge-density waves in the gas. Our work opens the door for quantum simulations of systems with strong nonlocal interactions such as extended Fermi-Hubbard models.
Article
Physics, Particles & Fields
Alessandro Galvani, Giacomo Gori, Andrea Trombettoni
Summary: The critical properties of the 3d O(2) universality class in bounded domains were studied using Monte Carlo simulations of the clock model. It was found that correlations only depend on the distance between points, computed using a metric obtained by solving the corresponding fractional Yamabe equation. The study also involved quantitative comparison with results for the Ising model at criticality.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Review
Physics, Multidisciplinary
Shai M. Chester
Summary: These lectures aim to familiarize students with the nuts and bolts of numerical bootstrap in an efficient manner, covering the basics of conformal field theory, computation of conformal blocks, formulation of crossing equations as a semi-definite programming problem, solving the problem using SDPB, and interpretation of the results. The lectures include worked examples and problem sets to help students master the skills, culminating in a precise computation of the critical exponents of the 3d Ising model.
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS
(2023)
Article
Physics, Multidisciplinary
Chen-Te Ma, Chih-Hung Wu
Summary: The study explores the relationship between Quantum Entanglement and Quantum Chaos, using methods such as the Gaussian random model to conduct universal research, analyzing the positive correlation between the violation of Bell's inequality and entanglement entropy, and examining the relations between entanglement quantities and dip time, dynamics, and chaotic signaling criteria.
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS
(2022)