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, Multidisciplinary
Matteo Carrega, Joonho Kim, Dario Rosa
Summary: In this study, a non-equilibrium dynamics induced by strongly correlated Hamiltonians with all-to-all interactions is explored through a Sachdev-Ye-Kitaev (SYK)-based quench protocol. It is shown that the time evolution of simple spin-spin correlation functions is sensitive to the degree of k-locality of the corresponding operators, providing a tool to distinguish between operator-hopping and operator growth dynamics, which are indicative of quantum chaos in many-body quantum systems. This observation could be utilized as a promising method to probe chaotic behavior in advanced quench setups.
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
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)
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)
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
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
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
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
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, Multidisciplinary
Klaus Bering
Summary: We prove the factorization theorem by demonstrating that the generating functional of connected tree diagrams is the Legendre transform of the action. We then apply this theorem to a specific example of a local relativistic interacting field theory in 2D with certain constraints. In doing so, we simplify the proof of the assumption that no particle production leads to specific models.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2023)
Article
Astronomy & Astrophysics
D. Fursaev, I. G. Pirozhenko
Summary: This article proposes a method to study the electromagnetic effects produced by a straight null cosmic string in classical electromagnetic fields. The paper examines the interaction between plane waves and null strings, as well as perturbations of the Coulomb fields of electric charges caused by the strings.
Article
Physics, Multidisciplinary
Zongping Gong, Adam Nahum, Lorenzo Piroli
Summary: In two-dimensional Floquet systems, many-body localized dynamics in the bulk leads to chaotic evolution characterized by a nonzero chiral topological index at the one-dimensional edges. This anomalous dynamics is qualitatively different from local-Hamiltonian evolution. By analyzing solvable models of random quantum cellular automata, it is found that a nonzero index results in asymmetric butterfly velocities, different diffusive broadening of the light cones, and a modification of the order relations between the butterfly and entanglement velocities. These results can be understood by generalizing the entanglement membrane theory, considering a spacetime entropy current fixed by the index.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Gianluca Lagnese, Pasquale Calabrese, Lorenzo Piroli
Summary: This study investigates the entanglement dynamics of thermofield double (TFD) states in integrable spin chains and quantum field theories. It proposes a formula for the entanglement dynamics, applicable to both discrete and continuous integrable field theories, and tests its validity in two prototypical examples of integrable spin chains.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
News Item
Physics, Multidisciplinary
Lorenzo Piroli
Summary: Theoretical physicists have proven a conjecture regarding random quantum circuits, stating that they cannot be simplified. This proof is a significant milestone in quantum-circuit complexity theory.
Article
Physics, Multidisciplinary
Giacomo Giudice, Giuliano Giudici, Michael Sonner, Julian Thoenniss, Alessio Lerose, Dmitry A. Abanin, Lorenzo Piroli
Summary: In this study, the influence of integrable interactions on the temporal entanglement (TE) behavior is investigated. It is found that, beyond the noninteracting limit, TE exhibits a logarithmic growth, violating the area law. This finding highlights the significance of interactions and raises interesting questions about efficiently simulating the local dynamics of interacting integrable systems.
PHYSICAL REVIEW LETTERS
(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
Mechanics
Lorenzo Piroli, Eric Vernier, Mario Collura, Pasquale Calabrese
Summary: This article presents a general approach to compute the symmetry-resolved Renyi and von Neumann entanglement entropies of thermodynamic macrostates in interacting integrable systems. The method combines the thermodynamic Bethe ansatz with the Gartner-Ellis theorem and derives a simple formula for the von Neumann entropy. The results are tested on the XXZ Heisenberg spin chain with good agreement.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(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
Lorenzo Piroli, Yaodong Li, Romain Vasseur, Adam Nahum
Summary: We study quantum circuits and analyze the transitions that occur as the rate of control operations is increased. We show that the measurement-induced entanglement transition and the directed percolation transition into the absorbing state are distinct. By introducing effective tensor networks, we analyze the entanglement and absorbing-state transitions.
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
Optics
Maxime Lucas, Lorenzo Piroli, Jacopo De Nardis, Andrea De Luca
Summary: In noninteracting isolated quantum systems, local subsystems relax to nonthermal stationary states, described by a generalized Gibbs ensemble. This study shows that a recently introduced projected ensemble, which involves projective measurements on the rest of the system, can be completely characterized by the generalized Gibbs ensemble. A random ensemble called deep GGE is proposed and shown to coincide with a universal Haar random ensemble for infinite-temperature initial states. Numerical tests confirm the predictions of the deep GGE and its agreement with the projected ensemble for both infinite and finite temperatures. This work contributes to the systematic characterization of projected ensembles beyond chaotic systems and infinite temperatures.
Article
Materials Science, Multidisciplinary
Tobias Haug, Lorenzo Piroli
Summary: In this paper, we demonstrate an efficient method to compute the nonstabilizerness of matrix product states (MPSs) using the recently introduced stabilizer Renyi entropies (SREs). We find that the SRE can be expressed in terms of the norm of an MPS with bond dimension chi 2n for a specific MPS. This construction allows us to extract the SRE from a single tensor for translation-invariant states and provides a computational cost linear in N and polynomial in chi for generic MPSs. By applying this method, we obtain accurate numerical results for the ground-state nonstabilizerness in the quantum Ising chain.
Article
Materials Science, Multidisciplinary
Stefano Scopa, Pasquale Calabrese, Lorenzo Piroli
Summary: In this study, nonhomogeneous quantum quenches in a one-dimensional gas of repulsive spin-1/2 fermions were investigated using generalized hydrodynamics (GHD). Real-time evolution following sudden changes of the confining potential was analyzed, with a particular focus on release protocols and trap quenches. The study provided quantitative predictions for different temperatures, external magnetic fields, and chemical potentials.
Article
Materials Science, Multidisciplinary
Xhek Turkeshi, Lorenzo Piroli, Marco Schiro
Summary: This study investigates the entanglement dynamics in continuously monitored current-driven open quantum systems and reveals that monitoring can enhance the entanglement properties of the system.
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.
