Article
Materials Science, Multidisciplinary
I Martin, K. A. Matveev
Summary: We investigate the properties of many-body eigenstates of a system of interacting chiral spinless fermions on a ring. Our findings reveal a coexistence of fermionic and bosonic eigenstates in certain parts of the many-body spectrum. Despite being far from integrability, some bosonic eigenstates originating from the strong interaction limit persist at intermediate and weak couplings, resulting in persistent density oscillations in the system.
Article
Physics, Multidisciplinary
Lukas Pausch, Edoardo G. Carnio, Alberto Rodriguez, Andreas Buchleitner
Summary: In this study, the chaotic phase of the Bose-Hubbard Hamiltonian is identified through the energy-resolved correlation between spectral features and structural changes of the associated eigenstates, as revealed by their generalized fractal dimensions. The eigenvectors are found to become ergodic in the thermodynamic limit, in the configuration space Fock basis, with random matrix theory providing a remarkable description of their typical structure. However, as the Hilbert space dimension grows, the distributions of the generalized fractal dimensions show increasing distinguishability from random matrix theory.
PHYSICAL REVIEW LETTERS
(2021)
Article
Materials Science, Multidisciplinary
Krishnanand Mallayya, Marcos Rigol
Summary: In weakly perturbed nonintegrable systems, generic observables exhibit a two-step relaxation process with a fast prethermal dynamics followed by a slow thermalizing dynamics characterized by a rate proportional to g(2). During this slow thermalizing process, observables can be described using projected diagonal and Gibbs ensembles.
Article
Materials Science, Multidisciplinary
Ken K. W. Ma, A. Volya, Kun Yang
Summary: The recent discovery of quantum many-body scar states reveals the possibility of low entanglement states in nonintegrable systems, but these scar states are likely to be eliminated when introducing weak interactions between fermions.
Article
Quantum Science & Technology
A. V. Andreev, A. G. Balanov, T. M. Fromhold, M. T. Greenaway, A. E. Hramov, W. Li, V. V. Makarov, A. M. Zagoskin
Summary: The research investigates the dynamics of driven multi-element quantum systems and discovers chaotic behaviors and a hyperchaotic regime in larger systems. It demonstrates that these chaotic dynamics can be efficiently controlled by a periodic driving field. Insights from the results suggest the possibility of a reduced description for the behavior of large quantum systems based on transitions between different dynamical regimes controlled by a small number of parameters.
NPJ QUANTUM INFORMATION
(2021)
Article
Physics, Multidisciplinary
Bertrand Evrard, An Qu, Jean Dalibard, Fabrice Gerbier
Summary: The dynamics of a many-body system can exhibit various behaviors, from reversible evolution to thermalization. The linear energy spectrum and undamped oscillations of many-body observables occur when the system can be described by a Bogoliubov analysis, while nonlinearity leads to irreversibility. Chaotic dynamics and thermalization emerge when the integrability of the Hamiltonian is broken, in agreement with the eigenstate thermalization hypothesis paradigm.
PHYSICAL REVIEW LETTERS
(2021)
Article
Materials Science, Multidisciplinary
Patrycja Lydzba, Janez Bonca
Summary: The study investigates the unitary time evolution of a symmetry-broken state in a finite system of interacting hard-core bosons, which can be mapped onto the XXZ Heisenberg chain. A spatially homogeneous and time-dependent vector potential is introduced to mimic a short laser pulse, allowing control over the onset of charge density wave order. Nonthermal long-lived states with nonzero charge density wave order, translated by one lattice site, are found to have lifetimes significantly longer than typical times given by the system parameters, although they are suppressed by integrability-breaking perturbations. The existence of these long-lived nonthermal states in the thermodynamic limit is speculated based on the findings.
Article
Physics, Multidisciplinary
Jiaozi Wang, Wen-ge Wang, Jiao Wang
Summary: This study investigates the thermalization of small quantum systems interacting with large chaotic environments from the perspective of the zeroth law of thermodynamics. By using a two-level probe quantum system, it is found that the zeroth law is applicable to quantum chaotic systems, but not to integrable systems.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Materials Science, Multidisciplinary
Soumi Ghosh, Sparsh Gupta, Manas Kulkarni
Summary: This study analyzes the chaotic behavior of non-Hermitian interacting disordered Hamiltonians through the non-Hermitian analog of the spectral form factor and the complex spacing ratio. The findings are expected to play a crucial role in understanding disordered open quantum systems in general.
Article
Materials Science, Multidisciplinary
Christoph Schoenle, David Jansen, Fabian Heidrich-Meisner, Lev Vidmar
Summary: The study investigates a quantum chaotic spin-fermion model in a one-dimensional lattice, analyzing translationally invariant observables related to transport properties and connecting them with the ETH. Results show that current matrix elements exhibit a system-size dependence different from other observables, with other observables displaying a Drude-like structure with Lorentzian frequency dependence.
Article
Optics
Radu Chicireanu, Adam Rancon
Summary: In this study, the kicked Lieb-Liniger model in the few-body limit was examined, revealing that two interacting bosons always exhibit dynamic localization regardless of the interaction strength. Unlike in the noninteracting limit, the momentum distribution of the bosons decays as C/k(4), in line with the behavior expected for interacting quantum particles. The findings shed light on the experimental study of kicked interacting bosons.
Article
Quantum Science & Technology
Shane Dooley
Summary: Recent theoretical and experimental work has shown that quantum many-body scarring can slow down or prevent thermalization in quantum sensing schemes, offering robustness against strong interactions. This phenomenon was demonstrated in two example models and the suppression of nonideal perturbations using periodic controls was briefly discussed.
Article
Materials Science, Multidisciplinary
Piotr Sierant, Maciej Lewenstein, Antonello Scardicchio, Jakub Zakrzewski
Summary: We use a polynomially filtered exact diagonalization algorithm to study the many-body localization (MBL) transition in disordered Floquet systems. We focus on the disordered kicked Ising model and demonstrate quantitatively that finite-size effects at the MBL transition are less severe than in the random field XXZ spin chains commonly studied in the context of MBL. Our findings also apply to other disordered Floquet models, showing smaller finite-size effects than those observed in typical disordered autonomous spin chains. We observe consistent indications of the MBL transition for several indicators of ergodicity breaking in the kicked Ising model. Additionally, we find that assuming a power-law divergence of the correlation length at the MBL transition yields a critical exponent nu approximately equal to 2, in agreement with the Harris criterion for one-dimensional disordered systems.
Article
Materials Science, Multidisciplinary
Claudia Artiaco, Federico Balducci, Markus Heyl, Angelo Russomanno, Antonello Scardicchio
Summary: We propose a spatiotemporal characterization of entanglement dynamics in many-body localized (MBL) systems, finding a resemblance to dynamical heterogeneity in classical glasses. Our study reveals that the relaxation times of local entanglement are spatially correlated, establishing a dynamical length scale for quantum entanglement. The MBL system consists of dynamically correlated clusters, decomposing into active regions with fast entanglement dynamics and inactive regions with slow dynamics. The relaxation times of on-site concurrence become broadly distributed and more spatially correlated as disorder increases or the energy of the initial state decreases. Through our spatiotemporal characterization, we uncover a previously unrecognized connection between classical glasses and the genuine quantum dynamics of MBL systems.
Article
Optics
Yicheng Zhang, Lev Vidmar, Marcos Rigol
Summary: A new emergent eigenstate construction method is discussed, allowing the construction of new local Hamiltonians, of which one eigenstate captures the entire generalized thermalization process following a global quantum quench.
News Item
Physics, Multidisciplinary
Lea F. Santos
Summary: A clever application of nuclear magnetic resonance techniques allows a glimpse into a quantum system being driven at high frequency, resulting in Floquet prethermalization - a quasi-steady state that persists for a very long time.
Article
Physics, Multidisciplinary
Saul Pilatowsky-Cameo, David Villasenor, Miguel A. Bastarrachea-Magnani, Sergio Lerma-Hernandez, Lea F. Santos, Jorge G. Hirsch
Summary: Periodic orbits are solutions for dynamical systems that repeat themselves, stable in regular regime and unstable in chaotic regime. Unstable periodic orbits are associated with quantum scarring, limiting the degree of delocalization of eigenstates and leading to revivals in dynamics. The effects of periodic orbits on eigenstate structure in regular and chaotic regimes are studied, along with quantifying the scarring of eigenstates and comparing dynamics of initial coherent states near and far from those orbits.
NEW JOURNAL OF PHYSICS
(2021)
Article
Multidisciplinary Sciences
Saul Pilatowsky-Cameo, David Villasenor, Miguel A. Bastarrachea-Magnani, Sergio Lerma-Hernandez, Lea F. Santos, Jorge G. Hirsch
Summary: This study reveals that all eigenstates of the chaotic Dicke model are scarred, contradicting the conventional belief that most eigenstates of quantum chaotic models are ergodic. Ergodicity is shown to be an ensemble property, achievable only through temporal averages.
NATURE COMMUNICATIONS
(2021)
Article
Physics, Multidisciplinary
Nahum C. Chavez, Francesco Mattiotti, J. A. Mendez-Bermudez, Fausto Borgonovi, G. Luca Celardo
Summary: This study reveals novel and robust quantum transport regimes achievable in nanosystems by exploiting long-range hopping. In a 1D disordered nanostructure, transport efficiency experiences a disorder-enhanced transport (DET) regime, eventually reaching a disorder-independent transport (DIT) regime.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
Guy Zisling, Lea F. Santos, Yevgeny Bar Lev
Summary: According to our numerical investigation, as few as 4 particles in the case of short-range interactions and as few as 3 particles for long-range interactions are required for the onset of strong chaos in quantum systems on a one-dimensional lattice. The robust signatures of quantum chaos emerge without any apparent dependence on the size of the system, for multiple system sizes which are at least three times larger than the number of particles.
Article
Physics, Multidisciplinary
Francesco Mattiotti, Mohan Sarovar, Giulio G. Giusteri, Fausto Borgonovi, G. Luca Celardo
Summary: Efficient devices for light harvesting and photon sensing are essential in energy science and various technologies. Inspired by the efficiency of natural photosynthetic systems, researchers have turned to biomimicry to design a new generation of light-capturing devices. In this study, an artificial light-harvesting and photodetection device was designed to maximize cooperative effects and enhance efficiency.
NEW JOURNAL OF PHYSICS
(2022)
Article
Physics, Multidisciplinary
David Villasenor, Saul Pilatowsky-Cameo, Miguel A. Bastarrachea-Magnani, Sergio Lerma-Hernandez, Lea F. Santos, Jorge G. Hirsch
Summary: We analyze the relationship between chaos and thermalization onset in the spin-boson Dicke model. The eigenstate expectation values and distributions of off-diagonal elements validate the eigenstate thermalization hypothesis (ETH) in the chaotic region, indicating thermalization. The chaotic structure of the eigenstates is confirmed using von Neumann entanglement entropy and Shannon entropy.
Article
Physics, Multidisciplinary
David A. Zarate-Herrada, Lea F. Santos, E. Jonathan Torres-Herrera
Summary: Survival probability is a measure of the likelihood that a system remains in its initial state after being taken out of equilibrium. Drawing on the concept of generalized entropies used to analyze nonergodic states, we propose a generalized version of the survival probability and explore its potential in studying eigenstate structure and ergodicity.
Article
Quantum Science & Technology
Jorge Chavez-Carlos, Talia L. M. Lezama, Rodrigo G. G. Cortinas, Jayameenakshi Venkatraman, Michel H. H. Devoret, Victor S. S. Batista, Francisco Perez-Bernal, Lea F. F. Santos
Summary: Transmon qubits are widely used in circuit-based quantum information processing due to their controllability and ease of engineering implementation. In addition to serving as qubits, transmons can also be used to investigate fundamental physics questions. This study explores their use as simulators of excited state quantum phase transitions (ESQPTs), and shows that experimentally observed spectral kissing in a driven SNAIL-transmon is a precursor to ESQPT. The study further explores the dynamical consequences of ESQPT, which have implications for superconducting circuits, cold atoms, and ion traps experiments.
NPJ QUANTUM INFORMATION
(2023)
Article
Materials Science, Multidisciplinary
Luis Benet, Fausto Borgonovi, Felix M. Izrailev, Lea F. Santos
Summary: We study the quantum-classical correspondence for strongly chaotic systems with interacting spin particles and fixed angular momenta. Through analyzing Lyapunov spectra, we find that the largest Lyapunov exponent agrees with the exponent determining the local instability of each individual spin. In the quantum domain, we analyze the Hamiltonian matrix to determine the conditions for quantum chaos based on the model parameters. By comparing the quantum and classical domains, we establish the relationship between quantum quantities and their classical counterparts, such as the local density of states and the chaotic eigenfunctions.
Article
Optics
A. L. M. Southier, Lea F. Santos, P. H. Souto Ribeiro, A. D. Ribeiro
Summary: This article presents an alternative approach to identify prime numbers based on the evolution of linear entanglement entropy. The authors demonstrate a connection between prime numbers and a singular behavior in the amplitudes of the Fourier series of this entropy. They also discuss the experimental implementation of this method using existing optical devices and explore a possible relationship between their results and the zeros of the Riemann zeta function.
Article
Physics, Fluids & Plasmas
Wouter Buijsman, Talia L. M. Lezama, Tamar Leiser, Lea F. Santos
Summary: This article studies the applications of extreme-value distributions in various contexts, with a focus on the ground-state energy distribution of disordered many-body quantum systems. An analytical expression is derived that accurately describes the ground-state energy distribution of the systems, reproducing Tracy-Widom distribution for some models but showing discrepancies for others. The analytical expression captures all of these distributions, playing a similar role as the Brody distribution does for the bulk of the spectrum.
Article
Physics, Fluids & Plasmas
Karin Wittmann W, E. R. Castro, Angela Foerster, Lea F. Santos
Summary: The onset of quantum chaos in triple-well potential systems of interacting bosons is investigated. Even in its chaotic regime, the system exhibits features reminiscent of integrability.
Article
Quantum Science & Technology
Saul Pilatowsky-Cameo, David Villasenor, Miguel A. Bastarrachea-Magnani, Sergio Lerma-Hernandez, Lea F. Santos, Jorge G. Hirsch
Summary: This paper explores a method for quantifying the degree of localization of quantum states in phase space and introduces an effective measure for revealing quantum scars. By analyzing the high moments of the Husimi function, unstable periodic orbits in the model are identified qualitatively and quantitatively.
Article
Materials Science, Multidisciplinary
Yifei Liu, Lea F. Santos, Emil Prodan
Summary: This study investigates topological phases and their bulk-boundary principles supported by quasiperiodic spin-chain models using numerical and K-theoretic methods. It is shown that the operator algebras generating the Hamiltonians are noncommutative tori for both uncorrelated and correlated phases, resulting in physical properties similar to the quantum Hall effect in higher dimensions. The interaction strongly influences the robust topological edge modes, which exhibit hybrid edge-localized and chain-delocalized structures. The findings lay the groundwork for topological spin pumping using phason as an adiabatic parameter.
