Article
Physics, Multidisciplinary
Song He
Summary: In this study, we investigated generic n-point correlation functions of conformal field theories (CFTs) with TT and JT deformations using the perturbative CFT approach. We systematically derived the first order correction to the generic correlation functions of CFTs with TT or JT deformation. The computation of the out of time ordered correlation function (OTOC) in the Ising model with TT or JT deformation confirmed that these deformations do not alter the integrable property up to the first order level.
SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
(2021)
Article
Physics, Particles & Fields
Olalla A. Castro-Alvaredo, Stefano Negro, Fabio Sailis
Summary: The study investigates TT-perturbed quantum field theories using the form factor equations, focusing on the distinct behavior of correlation functions at short distances caused by perturbations from irrelevant operators. The results show that the form factor equations have general solutions, which can aid in understanding the peculiar behavior of theories perturbed by irrelevant operators.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Omar Shahpo, Edoardo Vescovi
Summary: This paper investigates scalar local operators in the conformal fishnet theory and generalizes a field-theory approach to expand their correlation functions. The approach is applied to the bi-scalar reduction of the model. The Feynman-graph structure of three- and four-point correlators with single-trace operators is analyzed, showing the topology of globe and spiral graphs.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Burkhard Eden, Dennis le Plat, Alessandro Sfondrini
Summary: The study proposes an integrable bootstrap framework for computing correlation functions for superstrings in AdS(3) x S-3 x T-4 backgrounds, extending the hexagon tessellation approach. The framework's applicability to less supersymmetric setups is demonstrated, along with its ability to satisfy non-trivial consistency conditions. Possible applications include the study of wrapping corrections, higher-point correlation functions, and non-planar corrections.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Mechanics
Riccardo Fantoni
Summary: The study focused on canonical and affine versions of non-renormalizable Euclidean classical scalar field-theory with twelfth-order power-law interactions on three dimensional lattices. It was found that while the canonical version approached a 'free-theory' in the continuum limit, the affine version remained well-defined as an interaction model.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2021)
Review
Physics, Multidisciplinary
M. Lencses, G. Mussardo, G. Takacs
Summary: In this review, the author discusses the solvability of Integrable Quantum Field Theories using bootstrap techniques based on their elastic and factorisable S-matrix. The author emphasizes the importance of knowledge of scattering amplitudes and matrix elements in determining the exact spectrum of particles and their off-shell dynamics. The article also explores the calculation of universal amplitude ratios and dynamical structure factors, which can be experimentally accessed through methods like inelastic neutron scattering or nuclear magnetic resonance. Additionally, new results regarding generalized susceptibilities in the tricritical Ising universality class are presented.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2023)
Article
Astronomy & Astrophysics
E. T. Akhmedov, I. V. Kochergin, M. N. Milovanova
Summary: This study investigates quantum field theory with self-interactions in different regions of Minkowski and de Sitter spacetimes. Specifically, we examine the right (left) Rindler wedge, past wedge, and future wedge in Minkowski spacetime. In de Sitter spacetime, we consider the expanding Poincare patch, static patch, contracting Poincare patch, and global de Sitter itself. It is shown that loop corrections respect the isometries of the corresponding symmetric spacetimes in some regions, while infrared effects violate the isometries in other regions.
Article
Astronomy & Astrophysics
Arthur G. Cavalcanti, Dmitry Melnikov
Summary: In this paper, we construct time-dependent solutions of three-dimensional gravity in anti-de Sitter space dual to systems with boundaries (BCFTs) following the AdS/BCFT prescription. Such solutions can be discussed in the context of first-order phase transition dynamics or quantum quenches. We find that the holographic entanglement entropy grows logarithmically with time with correct universal coefficient, but exhibits different behavior at late times in the bubble quench scenario.
Article
Physics, Particles & Fields
Christopher P. Herzog, Itamar Shamir
Summary: This study delves into the two point functions of marginal operators with the stress tensor and displacement operator in three dimensions, revealing the boundary anomaly and confirming agreement with the anomaly effective action. It also presents the anomaly effective action linking the Euler density term to the one point function anomaly for a higher dimensional conformal field theory with a four dimensional defect, extending previous results for two dimensional defects.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Multidisciplinary
G. Niccoli, V Terras
Summary: In this paper, we study the correlation functions of open quantum spin 1/2 chains with unparallel magnetic fields on the edges, focusing on the more complex case of the XXZ spin 1/2 chains within the framework of quantum separation of variables. We show that under special boundary conditions, we obtain simple spectrum characterization and description of the action of local operators on transfer matrix eigenstates as linear combinations of separate states.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Physics, Particles & Fields
Hrachya M. Babujian, Angela Foerster, Michael Karowski
Summary: The high energy behavior of the SU(N) chiral Gross-Neveu model in 1 + 1 dimensions was investigated, showing that the model is integrable and matrix elements of several local operators (form factors) are known. The form factors exhibit rapidity space clustering, indicating factorization when a group of rapidities is shifted to infinity, and explicit factorization formulas are presented for several operators in the SU(N) model.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Mechanics
Andre LeClair
Summary: Pure T (T) over bar deformations of conformal field theories are often incomplete in the ultra-violet due to square-root singularities in the ground state energy. This article demonstrates how the theory can be completed by including an infinite number of additional irrelevant perturbations, with specific examples provided for the Ising model at c(IR) = 1/2 in the infra-red. The UV completions for these cases involve N=1 T (T) over bar deformations of a free massless boson.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2021)
Article
Astronomy & Astrophysics
G. Martinelli, S. Simula, L. Vittorio
Summary: This study provides the first nonperturbative determination of the hadronic susceptibilities that constrain the form factors in the semileptonic B -> D-(*())l nu(l) transitions. By evaluating moments of suitable two-point correlation functions obtained on the lattice, the study calculates the longitudinal and transverse susceptibilities of vector and axial-vector polarization functions at different pion masses and lattice spacings. The physical values of the scalar, vector, pseudoscalar, and axial susceptibilities are obtained using the Extended Twisted Mass Collaboration (ETMC) ratio method.
Article
Physics, Multidisciplinary
Giuliano Niccoli, Hao Pei, Veronique Terras
Summary: This study demonstrates the computation of correlation functions at zero temperature using the quantum Separation of Variables (SoV) framework, focusing on the XXX Heisenberg chain. By introducing inhomogeneity parameters in the boundary conditions, the model can be solved within the SoV framework. The method can be easily extended to more general non-diagonal twist cases, showing that the correlation functions in the thermodynamic limit are independent of the specific form of the boundary twist.
Article
Physics, Particles & Fields
Takanori Anegawa, Norihiro Iizuka, Kazumi Okuyama, Kazuhiro Sakai
Summary: We study the late time behavior of n-point spectral form factors (SFFs) in two-dimensional Witten-Kontsevich topological gravity, including both Airy and JT gravities as special cases. For one-point SFF, we find it decays by power law at t similar to h(-2/3) and decays exponentially at t similar to h(-1). We also study general n(>= 2)-point SFFs at t similar to h(-1) and find that they are characterized by a single function determined by the classical eigenvalue density of the dual matrix integral.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Multidisciplinary
Pavel Kos, Bruno Bertini, Tomaz Prosen
Summary: Studied perturbed dual-unitary quantum circuits and found that in the dilute limit, in the presence of random longitudinal fields, the correlation functions can still be expressed in terms of one-dimensional transfer matrices.
Article
Physics, Multidisciplinary
Katja Klobas, Bruno Bertini, Lorenzo Piroli
Summary: In this study, the out-of-equilibrium dynamics of the quantum cellular automaton Rule 54 was examined, revealing the full thermalization dynamics at a microscopic level using simple quantum channels for low-entangled initial states. Analytic formulas for the evolution of local observables and Renyi entropies were provided, showing that Rule 54 does not behave as a simple Markovian bath and exhibits nonequilibrium features of interacting integrable many-body quantum systems. This study offers a rare example where the entire thermalization dynamics can be exactly solved at the microscopic level.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
Pavel Kos, Bruno Bertini, Tomaz Prosen
Summary: In this study, we investigate the time-evolution operator in a local quantum circuit with random fields, finding that quantum chaos leads to it effectively behaving as a random matrix in many-body quantum space at large times. By analyzing the squared magnitude of the trace of the evolution operator, known as the generalized spectral form factor, we compare our findings with random matrix theory predictions. Furthermore, we establish a connection between chaotic and ergodic properties of the systems through the realization that the generalized spectral form factor can be expressed in terms of dynamical correlation functions of local observables in the infinite temperature state. Additionally, we explore the relationship between the many-body Thouless time tau(th) and the conservation laws of the system, explaining the different scalings observed for systems with and without conservation laws.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Particles & Fields
Ananda Roy, Dirk Schuricht, Johannes Hauschild, Frank Pollmann, Hubert Saleur
Summary: Analog quantum simulation using a one-dimensional quantum electronic circuit built from Josephson junctions has been investigated numerically for the quantum sine-Gordon (qSG) model. The analysis was done using density matrix renormalization group technique and compared with Bethe ansatz computations. The study shows that the quantum circuit model is less susceptible to scaling corrections compared to the XYZ chain.
Article
Mechanics
Jurriaan Wouters, Aris Giotis, Ross Kang, Dirk Schuricht, Lars Fritz
Summary: This study investigates the connection between Ramsey's theorem and a statistical physics problem. A classical Hamiltonian is designed to establish lower bounds on Ramsey numbers. Monte Carlo methods are used to obtain consistent results, and the limitations and potential extensions of the approach are discussed.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2022)
Article
Physics, Multidisciplinary
Bruno Bertini, Fabian H. L. Essler, Etienne Granet
Summary: In this study, we investigate fermions on a continuous one-dimensional interval subjected to weak repulsive two-body interactions. We demonstrate the possibility of perturbatively constructing an extensive number of mutually compatible conserved charges for any interaction potential. The densities of these charges at higher orders are generally nonlocal and only become spatially localized under certain compatibility conditions. We prove that the Cheon-Shigehara potential (fermionic dual to the Lieb-Liniger model) and the Calogero-Sutherland potentials are the only solutions to the first of these conditions. We utilize our construction to show the emergence of generalized hydrodynamics from the Bogoliubov-Born-Green-Kirkwood-Yvon hierarchy and argue for the robustness of generalized hydrodynamics under nonintegrable perturbations in the weak interaction regime.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Bruno Bertini, Katja Klobas, Vincenzo Alba, Gianluca Lagnese, Pasquale Calabrese
Summary: This article investigates the issue of slope in Re acute accent nyi entropies, where after a quantum quench in a quantum many-body system, entanglement entropy exhibits universal linear growth and saturation. The article determines the slope of the entanglement entropy through a spacetime duality transformation and finds an explicit formula for it.
Article
Physics, Multidisciplinary
Bruno Bertini, Katja Klobas, Tsung-Cheng Lu
Summary: In this study, the growth of entanglement between adjacent regions in a one-dimensional many-body system was investigated after a quantum quench. By using a replica trick and a space-time duality transformation, an exact and universal relationship between entanglement negativity and Renyi1/2 mutual information was derived, which holds for times shorter than the sizes of all subsystems. The result suggests that this relationship can be extended to any system where information spreads with a finite maximal velocity.
PHYSICAL REVIEW LETTERS
(2022)
Article
Materials Science, Multidisciplinary
Alessandro Foligno, Bruno Bertini
Summary: Dual-unitary circuits are locally interacting quantum many-body systems that exhibit unitary dynamics even under the exchange of space and time. These systems have recently become a crucial framework for studying features of many-body quantum chaos exactly. In particular, they allow for a class of solvable initial states that provide access to the full nonequilibrium dynamics in the thermodynamic limit. It has been discovered that when a dual-unitary circuit is prepared in a solvable state, the quantum entanglement between two complementary spatial regions grows at the fastest possible rate determined by local evolution. In this study, we explore the behavior of this property when the system is in a generic pair-product state. We demonstrate that while the entanglement increment during a time step is submaximal for finite times in this case, it approaches the maximal value in the infinite-time limit. This result is rigorously proven for dual-unitary circuits that generate sufficiently high entanglement and is argued to hold for the entire class.
Article
Materials Science, Multidisciplinary
G. Camacho, J. Vahedi, D. Schuricht, C. Karrasch
Summary: In this study, we investigate the effects of disorder in a one-dimensional model of Z3 Fock parafermions. We employ exact diagonalization to determine level statistics, participation ratios, and the dynamics of domain walls. This allows us to identify ergodic and finite-size localized phases. To distinguish Anderson from many-body localization, we calculate the time evolution of the entanglement entropy in random initial states using tensor networks.
Article
Physics, Multidisciplinary
Jurriaan Wouters, Fabian Hassler, Hosho Katsura, Dirk Schuricht
Summary: We study the phase diagram of an extended parafermion chain and show its equivalence to the non-chiral Z3 axial next-nearest neighbour Potts model. We discuss a possible experimental realization and find multiple gapped phases and a gapless phase.
SCIPOST PHYSICS CORE
(2022)
Article
Materials Science, Multidisciplinary
Bruno Bertini, Pavel Kos, Tomaz Prosen
Summary: Since Anderson's seminal work, localization has been recognized as a mechanism for quantum many-body systems to escape ergodicity. This study provides an example of a class of quantum many-body systems called strongly localized quantum circuits, which are interacting and localized, and where the spectral statistics can be precisely characterized. Additionally, the study shows that these systems exhibit three different regimes of spectral correlations depending on the energy scale.
Article
Physics, Multidisciplinary
Jurriaan Wouters, Hosho Katsura, Dirk Schuricht
Summary: By utilizing Witten's conjugation argument, frustration-free systems and their exact ground states can be derived from known results in spin chains, focusing particularly on Z(p)-symmetric models. This approach allows for a unified framework in treating various frustration-free models, including those recently derived by Iemini et al. and Mahyaeh and Ardonne. Additionally, several other frustration-free models and their exact ground states, such as Z(4)- and Z(6)-symmetric generalisations of the ANNNI chain, can be derived using this method.
SCIPOST PHYSICS CORE
(2021)
Article
Materials Science, Multidisciplinary
Dion M. F. Hartmann, Jurriaan J. Wouters, Dirk Schuricht, Rembert A. Duine, Akashdeep Kamra
Summary: Recent advancements in understanding ordered magnets have led to quantification of entanglement content as an intensive property, with entanglement entropy scaling with volume in bipartite ordered antiferromagnets. Analytic results show dimensionality-dependent constant, validated against numerical analysis of a 1D system. This evaluation provides useful shortcuts for obtaining central-cut entanglement entropy in 1D systems and area law in higher-dimensional magnets.
Article
Materials Science, Multidisciplinary
Isaac Reid, Bruno Bertini
Summary: After quantum quenches in many-body systems, the shape of entanglement barriers described by different Renyi entropies can be precisely calculated. The behavior of entanglement entropy in various circuits exhibits characteristics of rational conformal field theories (CFTs) or holographic CFTs, depending on the type of dynamics undergone by the system, with nontrivial changes in the entanglement spectrum in completely chaotic cases. As the bond dimension of matrix product states (MPSs) increases, the entanglement barrier maintains the same shape, shifting to accommodate for higher initial entanglement.
