Article
Physics, Particles & Fields
Yuhma Asano, Jun Nishimura
Summary: This article investigates the dynamics of zero modes in gauge theory and reveals the instability between trivial vacuum and nontrivial vacuum in 4D SU(2) and SU(3) theories through Monte Carlo calculations of Wilson loops and Polyakov lines.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Astronomy & Astrophysics
Stavros Mougiakakos, Pierre Vanhove
Summary: The study derives the static Schwarzschild-Tangherlini metric by extracting classical contributions from the multiloop vertex functions of a graviton emitted from a massive scalar field. By computing scattering amplitudes, an expansion of the metric up to the fourth post-Minkowskian order in four, five, and six dimensions is explicitly derived, with the introduction of higher-derivative nonminimal couplings to cancel ultraviolet divergences. The standard Schwarzschild-Tangherlini metric is recovered through an appropriate coordinate transformation induced from the de Donder gauge condition.
Article
Physics, Multidisciplinary
David Krueger, Michael Potthoff
Summary: In this study, a generic model of a Chem insulator with a Hubbard interaction in arbitrary even dimension D was explored. The model remains nontrivial in the D -> infinity limit, with dynamical mean-field theory predicting a phase diagram featuring a continuum of topologically different phases. The unconventional features, such as the elusive distinction between insulating and semimetal states, are discussed, with topological phases characterized by a nonquantized Chern density as D -> infinity.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Particles & Fields
Lu Meng, E. Epelbaum
Summary: The study proposes an alternative method to extract two-body scattering phase shifts from finite volume spectra without relying on partial wave expansion. By using an effective-field-theory-based approach, the method allows for a reliable extraction of phase shifts and avoids complexities from partial wave mixing. It is effective for both S-wave and P-wave dominated states in various systems.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Mathematical
Daniel S. Freed, Constantin Teleman
Summary: This study proves a theorem in 3-dimensional topological field theory regarding the existence of nonzero boundary theory, and characterizes fusion categories based on duality, relying on the cobordism hypothesis with singularities. The main theorem applies to 3-dimensional quantum systems in physics, providing insight into the obstruction to the existence of a boundary theory. Appendices on bordism multicategories, 2-dualizable categories, and internal duals may be of independent interest.
COMMUNICATIONS IN MATHEMATICAL PHYSICS
(2021)
Article
Physics, Particles & Fields
Fabian Mueller, Akaki Rusetsky
Summary: Through non-relativistic effective field theory, a three-particle analog of the Lellouch-Luscher formula at the leading order has been derived. This formula establishes a connection between three-particle decay amplitudes in a finite volume and their infinite-volume counterparts, making it applicable for lattice studies on three-particle decays. The potential generalization of this approach to higher orders has also been briefly discussed.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Fabian Mueller, Jin-Yi Pang, Akaki Rusetsky, Jia-Jun Wu
Summary: In this paper, a three-particle quantization condition on the lattice is formulated in a manifestly relativistic-invariant form using a generalization of the non-relativistic effective field theory (NREFT) approach. The inclusion of higher partial waves is explicitly addressed, and the quantization condition is partially diagonalized into irreducible representations of the octahedral group in both the center-of-mass frame and moving frames. By generating synthetic data in a toy model, the relativistic invariance of the three-body bound state spectrum is explicitly demonstrated.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Pratim Roy
Summary: This paper investigates the entanglement properties of a simple non-local model with long-range interactions. It is shown that logarithmic negativity decays slower with distance in the presence of long-range interactions compared to short-range models. Furthermore, no revivals of logarithmic negativity are observed for long-range interactions in sudden quantum quench scenarios. The entanglement entropy is also studied and supports these findings.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Shinichiro Akiyama, Yoshinobu Kuramashi, Takumi Yamashita, Yusuke Yoshimura
Summary: The chiral phase transition of the Nambu-Jona-Lasinio model in the cold and dense region was analyzed using the Grassmann version of the anisotropic tensor renormalization group algorithm. A first-order chiral phase transition was clearly observed at vanishing temperature in the dense region, with mu /T similar to O(10(3)) on a large volume of V = 1024(4). Results for the equation of state were also presented.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Brian Swingle, Mark Van Raamsdonk
Summary: This paper explores constraints on the amount of negative energy that can be carried by a free Dirac field in a slab-shaped region between two parallel spatial planes. It is found that states with more negative energy exist above 1+1 dimensions. By numerically searching for states with uniform energy density in a lattice regulated model, enhanced negative energy states are discovered. For a 3+1 dimensional massless Dirac fermion, it is possible to have states with arbitrarily large uniform negative energy density in an arbitrarily wide slab.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Tyler D. Blanton, Fernando Romero-Lopez, Stephen R. Sharpe
Summary: The study discusses the practical implementation of the formalism related to the finite-volume spectrum of systems of nondegenerate spinless particles, providing theoretical results and codes for implementing the three-particle quantization condition. Various issues, including modifying the cutoff function, decomposing the three-particle amplitude, expanding the threshold, and calculating predictions in chiral perturbation theory, are addressed in the study.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Po-Shen Hsin, Zhu-Xi Luo, Ananth Malladi
Summary: This work investigates the gapped interfaces of 3+1d fracton phases of matter using foliated gauge theories and lattice models. We analyze the gapped boundaries and gapped interfaces in X cube model, and the gapped interfaces between the X-cube model and the toric code. Many new gapped boundaries and interfaces are discovered, some of which are decorated with additional actions.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Astronomy & Astrophysics
Roland C. Farrell, Ivan A. Chernyshev, Sarah J. M. Powell, Nikita A. Zemlevskiy, Marc Illa, Martin J. Savage
Summary: Tools necessary for quantum simulations of 1 + 1 dimensional quantum chromodynamics are developed. Classical computations and D-wave's quantum annealer Advantage are used to determine the hadronic spectrum and study quark entanglement. IBM's seven-qubit quantum computers are used to compute dynamics in one-flavor QCD with one spatial site, and resource requirements for large-scale simulations are estimated for SU(Nc) gauge theory with Nf flavors of quarks.
Article
Astronomy & Astrophysics
Richard C. Brower, Cameron Cogburn, A. Liam Fitzpatrick, Dean Howarth, Chung- Tan
Summary: The study focused on constructing the discretized theory of a scalar field in AdS(2) and investigating its approach to the continuum limit in the free and perturbative regime. The effects of lattice spacing and boundary effects were quantified, showing accurate modeling within the framework of the continuum limit description. Refinements of the lattice were also demonstrated to shrink lattice spacing while breaking the triangle group symmetry of the maximally symmetric tilings.
Article
Physics, Particles & Fields
Mariia Anosova, Christof Gattringer, Tin Sulejmanpasic
Summary: In this paper, we study U(1) gauge theories with a modified Villain action and discuss their coupling to electric and magnetic matter as well as the exact electric-magnetic duality. We also show that imposing electric-magnetic duality results in a local, but not ultra-local lattice action.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Review
Physics, Multidisciplinary
Abhay Ashtekar, Eugenio Bianchi
Summary: Loop quantum gravity (LQG) is a leading approach in the search for physics beyond Einstein, aiming to unify general relativity and quantum physics. This theory emphasizes that gravity is a manifestation of spacetime geometry and focuses on its implications in extreme environments, such as near the big bang and inside black holes.
REPORTS ON PROGRESS IN PHYSICS
(2021)
Article
Physics, Multidisciplinary
Bennet Windt, Alexander Jahn, Jens Eisert, Lucas Hackl
Summary: The paper presents an efficient local optimization algorithm developed based on insights into the geometry of bosonic and fermionic Gaussian states, utilizing notions of gradient descent and local constraints. The natural group action of the symplectic and orthogonal group enables efficient computation of the geometric gradient, with compact formulas provided for converting between different parametrizations of Gaussian states.
Article
Physics, Multidisciplinary
Hugo A. Camargo, Lucas Hackl, Michal P. Heller, Alexander Jahn, Bennet Windt
Summary: Using lattice techniques, we provide an elementary proof that the decay of both the entanglement of purification and reflected entropy is enhanced with respect to the mutual information behavior by a logarithm of the distance between the subregions. Additionally, we numerically compute the overall coefficients for these quantities of interest in the Ising spin chain at criticality and the related free fermion conformal field theory.
PHYSICAL REVIEW LETTERS
(2021)
Article
Astronomy & Astrophysics
B. Baytas, N. Yokomizo
Summary: We introduce a class of states characterized by homogeneity and isotropy conditions in loop quantum gravity and provide concrete examples on a special class of homogeneous graphs. These states offer new representations of cosmological spaces for the formulation of cosmological models in loop quantum gravity. We demonstrate that their local geometry is described in an automorphism-invariant manner by one-node observables, and compute the density matrix representing the restriction of global states to one-node observables. The von Neumann entropy of this density matrix provides an invariant measure of entanglement entropy that can be applied to superpositions of distinct graphs.
Article
Materials Science, Multidisciplinary
Philipp Frey, Lucas Hackl, Stephan Rachel
Summary: This study investigates the fragmentation of Hilbert space in the extended Fermi-Hubbard model with nearest- and next-nearest-neighbor interactions. Lower bounds for the scaling of the number of frozen states and the size of the largest block preserved under the dynamics are derived using a generalized spin/mover picture and saddle point methods. Fragmentation is found for strong nearest- and next-nearest-neighbor repulsions as well as for the combined case. The results suggest that next-nearest-neighbor repulsions lead to an increased tendency for localization. Further simulation using Markov simulations reveals the spatial localization of dynamics in certain interaction regimes, particularly when there is a sufficiently low density of initial movers for strong nearest- and next-nearest-neighbor interactions.
Article
Quantum Science & Technology
Eugenio Bianchi, Lucas Hackl, Mario Kieburg, Marcos Rigol, Lev Vidmar
Summary: The entanglement entropy of subsystems of typical eigenstates of quantum many-body Hamiltonians can serve as a diagnostic of quantum chaos and integrability. This tutorial provides a pedagogical introduction to the entanglement entropy of typical pure states and typical pure Gaussian states, highlighting the differences between them. It also discusses the effect of particle-number conservation on the entanglement entropy.
Article
Astronomy & Astrophysics
R. R. Soldati, L. S. Menicucci, N. Yokomizo
Summary: The study determines two universal coefficients of entanglement entropy for a massive scalar field in a static closed universe through numerical verification. These coefficients capture independent of geometry corrections to the area law and curvature-dependent universal terms, with numerical calculations confirming analytical results up to high accuracy. The relative errors of the first and second universal coefficients with respect to analytical values are on the orders of 10-4 and 10-2, respectively.
Article
Optics
Natalia S. Moller, Bruna Sahdo, Nelson Yokomizo
Summary: This study introduces a protocol for a quantum switch in the gravitational field of a spherical mass, exploring the path-superposition state of a quantum system and entanglement between its proper time and position as resources for implementation. The realization of this protocol would help probe the physical regime described by quantum mechanics on curved spacetimes which has not been experimentally explored yet.
Article
Materials Science, Multidisciplinary
Eugenio Bianchi, Lucas Hackl, Mario Kieburg
Summary: This study discusses the average entanglement entropy of pure fermionic Gaussian states in subsystems and derives its formula and asymptotic behavior. The results show that in the thermodynamic limit, the average entanglement entropy of these pure random fermionic Gaussian states shares consistency with the average over eigenstates of random quadratic Hamiltonians.
Article
Physics, Multidisciplinary
Robert H. Jonsson, Lucas Hackl, Krishanu Roychowdhury
Summary: The study derives a general relation between the entanglement of bosonic and fermionic states in the ground states of supersymmetric quadratic Hamiltonians by constructing canonical identifications. A unified framework is used to describe bosonic and fermionic Gaussian states in terms of linear complex structures J, with resulting dualities applying to the full entanglement spectrum between the systems. An amplified scaling of the entanglement entropy (super-area law) in bosonic subsystems is found when the dual fermionic subsystems develop almost maximally entangled modes, showing a peculiar phenomenon.
PHYSICAL REVIEW RESEARCH
(2021)
Article
Physics, Multidisciplinary
Lucas Hackl, Eugenio Bianchi
Summary: Bosonic and fermionic Gaussian states can be uniquely characterized by a linear complex structure J, providing a unified framework to treat both types of particles simultaneously. Pure and mixed Gaussian states can be identified with compatible Kahler structures, with J(2) being a key parameter. By applying these methods, computations involving Gaussian states can be simplified to algebraic operations, leading to the discovery of new identities and facilitating the study of entanglement, system dynamics, and driven systems.
SCIPOST PHYSICS CORE
(2021)
Article
Physics, Multidisciplinary
Tommaso Guaita, Lucas Hackl, Tao Shi, Eugene Demler, J. Ignacio Cirac
Summary: This study introduces families of pure quantum states by constructing operators and applying them to regular coherent states, generating entanglement not found in the coherent states themselves while preserving their desirable properties. It also explains how to efficiently evaluate the expectation values of physical observables and discusses the applicability of these states in condensed matter physics and quantum information as variational families.
PHYSICAL REVIEW RESEARCH
(2021)
Article
Physics, Multidisciplinary
Hugo A. Camargo, Lucas Hackl, Michal P. Heller, Alexander Jahn, Tadashi Takayanagi, Bennet Windt
Summary: This article analyzes the quantities for two intervals in the vacuum of free bosonic and Ising conformal field theories using the most general Gaussian purifications, providing a comprehensive comparison with existing results and identifying universal properties. It further discusses important subtleties in the setup, such as the massless limit of the free bosonic theory and the Hilbert space structure under the Jordan-Wigner mapping in the spin chain model of the Ising conformal field theory.
PHYSICAL REVIEW RESEARCH
(2021)
