Article
Physics, Multidisciplinary
Paola Ruggiero, Pasquale Calabrese, Laura Foini, Thierry Giamarchi
Summary: Study on quantum quench in two coupled Tomonaga-Luttinger Liquids (TLLs) from off-critical to critical regime is conducted using conformal field theory approach and known solutions for single TLLs. Results show that depending on the observable, contributions from massive or massless modes can lead to exponential or power-law decay in time. These findings have direct application in quench problems involving two independent massless fields in scaling limit, such as the Hubbard model and tunnel-coupled tubes in cold atoms experiments.
Article
Physics, Multidisciplinary
Maurizio Fagotti
Summary: We investigate the effect of a single spin flip preceding a global quench between translationally invariant local Hamiltonians in spin-1/2 chains. The effect of the localized perturbation does not fade away however large the distance from the perturbation is. In particular, translational invariance is not restored and the infinite-time limit depends on whether the spin was flipped or not. We argue that this phenomenon is more general than the particular example considered and we conjecture that it is triggered by topological properties, specifically, the existence of semilocal charges.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Particles & Fields
Vanja Maric, Maurizio Fagotti
Summary: We investigate the Renyi-alpha tripartite information I-3((alpha)) of adjacent subsystems in noninteracting spin chains after global quenches, and find settings where I-3((alpha)) remains nonzero even in the limit of infinite lengths. We develop a quantum field theory description of free fermionic fields on a ladder and transform the calculation into a Riemann-Hilbert problem with a piecewise constant matrix. We provide explicit and implicit solutions for alpha = 2 and alpha > 2 respectively, and use a rapidly convergent perturbation theory to derive highly accurate analytic approximations for I-3((alpha)).
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Multidisciplinary
Alio Issoufou Arzika, Andrea Solfanelli, Harald Schmid, Stefano Ruffo
Summary: We study the transition from integrability to chaos in the three-particle Fermi-Pasta-Ulam-Tsingou (FPUT) model. By introducing a Fourier representation, we show that the quartic beta-FPUT model (alpha=0) and cubic model (beta=0) are integrable. For generic values of alpha and beta, the model is non-integrable and exhibits both chaotic and regular trajectories in phase space. In the classical case, chaos is diagnosed using Poincare sections, while in the quantum case, the level spacing statistics belong to different ensembles in different energy regimes.
Article
Optics
Aman Agarwal, Manas Kulkarni, D. H. J. O'Dell
Summary: In this paper, caustics in a statistical field theory setting are studied using classical field simulations. The focus is on the dynamics of two ultracold 1D Bose gases that are suddenly coupled to each other, and it is found that caustics dominate the resulting nonequilibrium dynamics. The accumulation of caustics over time leads to a characteristic nonthermal circus-tent-shaped probability distribution at long times.
Article
Physics, Multidisciplinary
Asmi Haldar, Krishnanand Mallayya, Markus Heyl, Frank Pollmann, Marcos Rigol, Arnab Das
Summary: Quantum phase transitions are important for understanding the distinct properties exhibited by matter at very low temperatures upon small changes in microscopic parameters. Locating these transitions accurately is challenging, but a new method involving sudden quenches to force systems out of equilibrium shows promise. The transitions leave distinctive features in intermediate-time dynamics and equilibrated local observables, with effective temperature showing minima near quantum critical points. Further research will focus on testing these results in experiments with Rydberg atoms and exploring nonequilibrium signatures of quantum critical points in models with topological transitions.
Article
Materials Science, Multidisciplinary
A. McDonald, R. Hanai, A. A. Clerk
Summary: This paper demonstrates how generic non-Hermitian tight-binding lattice models can be achieved in an unconditional, quantum-mechanically consistent manner by constructing an appropriate open quantum system. It focuses on the quantum steady states of such models for both fermionic and bosonic systems, revealing their sensitivity to boundary conditions and the differences in steady-state density distribution between fermions and bosons.
Article
Physics, Multidisciplinary
Jie Ren, Chenguang Liang, Chen Fang
Summary: In quantum systems, a subspace spanned by degenerate eigenvectors of the Hamiltonian may have higher symmetries than those of the Hamiltonian itself. Coupling an external field to certain generators of the quasisymmetry group can lift the degeneracy and result in exactly periodic dynamics within the degenerate subspace.
PHYSICAL REVIEW LETTERS
(2021)
Article
Mechanics
Ramanjit Sohal, Laimei Nie, Xiao-Qi Sun, Eduardo Fradkin
Summary: This article investigates the thermalization of Sachdev-Ye-Kitaev (SYK) models coupled via random interactions from the perspective of entanglement. The study shows that the thermalization behavior of SYK models coupled by two-body terms differs from those coupled by single-body terms.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2022)
Article
Mechanics
Mamta Gautam, Nitesh Jaiswal, Ankit Gill, Tapobrata Sarkar
Summary: We study information theoretic quantities in models with three and four spin interactions, which show distinctive characteristics compared to their nearest neighbour counterparts. The Nielsen complexity (NC), Fubini-Study complexity (FSC), and entanglement entropy (EE) are quantified to measure these characteristics. The models have a rich phase structure, different from ones with nearest neighbour interactions, which results in different behavior of information theoretic quantities. For example, the derivative of NC does not diverge but shows a discontinuity near continuous phase transitions, and the FSC may be regular and continuous across such transitions. In addition, the EE exhibits novel discontinuity at first and second order quantum phase transitions.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2023)
Article
Physics, Multidisciplinary
Bjarne Bergh, Martin Gaerttner
Summary: Entanglement is a crucial resource for many quantum technologies and fundamental physics questions. This text discusses deriving measurable lower bounds on distillable entanglement using entropic uncertainty relations for bipartite systems, and showcases their application to physical models realizable in cold-atom experiments. The derived entanglement bounds rely on measurements in only two different bases and are generically applicable to any quantum simulation platform.
PHYSICAL REVIEW LETTERS
(2021)
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
Materials Science, Multidisciplinary
Ancel Larzul, Marco Schiro
Summary: The study focuses on the nonequilibrium quench dynamics of a mixed Sachdev-Ye-Kitaev model, revealing that through different quench protocols, it is possible to access behaviors of both non-Fermi liquid and Fermi liquid. The identification of quench protocols that significantly slow down heating dynamics is interpreted as a signature of prethermalization.
Article
Physics, Multidisciplinary
Matan Lotem, Eran Sela, Moshe Goldstein
Summary: This study provides the first numerical evidence that Non-Abelian anyons can emerge as independent entities in gapless electronic models. By introducing a novel mapping method, the spectral degeneracy structure and fractional entropy of the system are extracted, and the F matrices, which encode the topological information regarding braiding of anyons, are calculated directly from impurity spin-spin correlations.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Matteo Ippoliti, Tibor Rakovszky, Vedika Khemani
Summary: The extension of many-body quantum dynamics to the nonunitary domain has led to the discovery of steady-state phases with various entanglement scaling behavior, from logarithmic to extensive to fractal. By utilizing a duality transformation, the relationship between unitary and nonunitary dynamics is revealed, shedding light on the growth of entanglement in unitary circuits and the corresponding nonunitary circuits. This understanding allows for the derivation of nonthermal volume-law entangled phases and the identification of steady-state phases with fractal entanglement scaling. Additionally, an experimental protocol for preparing these novel steady states has been proposed.
Article
Physics, Multidisciplinary
Maurizio Fagotti
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2017)
Article
Physics, Multidisciplinary
Vincenzo Alba, Maurizio Fagotti
PHYSICAL REVIEW LETTERS
(2017)
Article
Physics, Multidisciplinary
Bruno Bertini, Maurizio Fagotti, Lorenzo Piroli, Pasquale Calabrese
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2018)
Article
Mechanics
Vincenzo Alba, Bruno Bertini, Maurizio Fagotti, Lorenzo Piroli, Paola Ruggiero
Summary: This paper provides a pedagogical introduction to the generalized hydrodynamic approach in inhomogeneous quenches in integrable many-body quantum systems, focusing on applications to bipartitioning protocols and trap quenches. Exact results for time-dependent correlation functions and entanglement evolution are discussed, as well as the theory's range of applicability, open questions, and future directions.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2021)
Article
Physics, Multidisciplinary
Maurizio Fagotti
Summary: We investigate the effect of a single spin flip preceding a global quench between translationally invariant local Hamiltonians in spin-1/2 chains. The effect of the localized perturbation does not fade away however large the distance from the perturbation is. In particular, translational invariance is not restored and the infinite-time limit depends on whether the spin was flipped or not. We argue that this phenomenon is more general than the particular example considered and we conjecture that it is triggered by topological properties, specifically, the existence of semilocal charges.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Kemal Bidzhiev, Maurizio Fagotti, Lenart Zadnik
Summary: This paper investigates the properties of quantum jammed state and its time evolution. By performing localized measurement in a jammed state, it is found that jamming is locally restored, but local observables exhibit nontrivial time evolution on macroscopic scales, without returning to their initial values.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
L. Zadnik, S. Bocini, K. Bidzhiev, M. Fagotti
Summary: This study investigates the stationary states of many-body quantum systems with Hilbert-space fragmentation, revealing that these states have long-lasting macroscopic effects when measured. The research provides a clear example of the expectation value of charge density becoming a nontrivial function of the ratio between distance and time at late times, despite the corresponding current approaching zero.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Physics, Multidisciplinary
Lenart Zadnik, Kemal Bidzhiev, Maurizio Fagotti
Summary: The study focuses on the dual folded spin-1/2 XXZ model in the thermodynamic limit, particularly on a class of local macrostates including Gibbs ensembles. A thermodynamic Bethe Ansatz description is developed, and generalized hydrodynamics is worked out at the leading order. Interestingly, in the ballistic scaling limit, the junction of two local macrostates results in a discontinuity in the profile of essentially any local observable.
Article
Physics, Multidisciplinary
Lenart Zadnik, Maurizio Fagotti
Summary: The study focuses on an effective Hamiltonian that describes the time evolution of states on intermediate time scales in the strong-coupling limit of the spin-1/2 XXZ model. The model, to leading order, is integrable with local interactions. Using a coordinate Bethe Ansatz, the authors solve the model completely, demonstrating the existence of exponentially many jammed states and estimating their stability under the leading correction to the effective Hamiltonian. Ground state properties of the model are also discussed.
SCIPOST PHYSICS CORE
(2021)
Article
Physics, Multidisciplinary
Maurizio Fagotti
Article
Physics, Multidisciplinary
Vincenzo Alba, Bruno Bertini, Maurizio Fagotti
Article
Physics, Multidisciplinary
Maurizio Fagotti
Article
Materials Science, Multidisciplinary
Maurizio Fagotti
Article
Materials Science, Multidisciplinary
Lorenzo Piroli, Jacopo De Nardis, Mario Collura, Bruno Bertini, Maurizio Fagotti
Article
Optics
Anton S. Buyskikh, Maurizio Fagotti, Johannes Schachenmayer, Fabian Essler, Andrew J. Daley