Article
Materials Science, Multidisciplinary
Saranyo Moitra, Rajdeep Sensarma
Summary: This study provides a method to construct the Renyi and von Neumann entropy of a system of interacting fermions from its correlation functions. The Renyi entanglement entropy of interacting fermions in arbitrary dimensions can be represented by a Schwinger-Keldysh free energy on replicated manifolds with a current between the replicas. Using this representation, entanglement can be decomposed into contributions based on the one-particle correlator, two-particle correlator, etc. This construction is agnostic to the calculation method, allowing for the use of calculated, simulated, or measured values of the correlators.
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
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
Mohamad Niknam, Lea F. Santos, David G. Cory
Summary: The research proposes and experimentally measures an entropy that quantifies correlations among qubits in a nearly isolated quantum system. Due to spin-spin interactions, information flows from a central spin to surrounding ones forming clusters of multispin correlations that grow over time. A nuclear magnetic resonance experiment is used to directly measure the amplitudes of multispin correlations and compute the evolution of what is called correlation Renyi entropy, which continues to grow even after the equilibration of entanglement entropy. The study also analyzes how the saturation point and timescale for the equilibration of the correlation Renyi entropy depend on the system size.
PHYSICAL REVIEW LETTERS
(2021)
Article
Optics
Thomas Barthel, Qiang Miao
Summary: The research focuses on the behavior of entanglement entropies of eigenstates in quantum matter at different energies and subsystem sizes, as well as the universal scaling form in quantum critical regimes. By studying the harmonic lattice model, it is demonstrated how entanglement entropy follows different laws in various dimensions and how excited-state entanglement entropies are distributed around subsystem entropies of corresponding thermodynamic ensembles.
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
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
Physics, Multidisciplinary
Jiu Zhang, Li-Fu Jin, Bo Zheng, Yan Li, Xiong-Fei Jiang
Summary: The method simplifies the calculation of time correlations for complex dynamic systems in non-stationary states, particularly in financial systems. It focuses on how past fluctuations drive future motion of dynamic variables, and the results are significant both theoretically and practically. Additionally, the method demonstrates how to construct an investment strategy based on time correlations.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2022)
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
Lev Vidmar, Bartosz Krajewski, Janez Bonca, Marcin Mierzejewski
Summary: Recent research on disordered spin chains has focused on the relationship between exact numerical calculations and the existence of a many-body localization phase transition, particularly in cases where disorder is significantly greater than spin interaction strength. A phenomenological theory based on proximity to the noninteracting limit, such as the Anderson insulator, has been introduced to explain intriguing features observed in these systems. This theory quantitatively describes the dynamics of certain observables in finite interacting systems across a wide range of disorders.
PHYSICAL REVIEW LETTERS
(2021)
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
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
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
Shao-Hen Chiew, Jiangbin Gong, Leong-Chuan Kwek, Chee-Kong Lee
Summary: This article investigates the stability and final localization properties of a disordered Heisenberg spin chain coupled to a finite environment. It finds that within smaller system sizes, a strongly localized system can retain remnant information on its initial state at long times, despite coupling to a finite ergodic environment. However, strong dependencies on the initial state and coupling strength are observed in a ladder configuration, which can lead to either the loss or retention of information.
Article
Physics, Multidisciplinary
Leda Bucciantini, Spyros Sotiriadis, Tommaso Macri
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2016)
Article
Physics, Multidisciplinary
Spyros Sotiriadis
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2017)
Article
Mechanics
Alvise Bastianello, Spyros Sotiriadis
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2017)
Article
Physics, Multidisciplinary
I. Kukuljan, S. Sotiriadis, G. Takacs
PHYSICAL REVIEW LETTERS
(2018)
Article
Physics, Particles & Fields
I Kukuljan, S. Sotiriadis, G. Takacs
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Multidisciplinary
Thomas Schweigler, Marek Gluza, Mohammadamin Tajik, Spyros Sotiriadis, Federica Cataldini, Si-Cong Ji, Frederik S. Moller, Joao Sabino, Bernhard Rauer, Jens Eisert, Jorg Schmiedmayer
Summary: The experimental observation of the dynamic emergence of Gaussian correlations in a quantum many-body system is presented, triggered by abruptly switching off the effective interaction between collective degrees of freedom. Initially non-Gaussian correlations are gradually replaced by a Gaussian state over time, and this dynamic process is significant for various quantum many-body systems.
Article
Physics, Multidisciplinary
Miha Srdinsek, Tomaz Prosen, Spyros Sotiriadis
Summary: We studied signatures of quantum chaos in (1 + 1)D quantum field theory models using the Hamiltonian truncation method. The level spacing statistics approach the Gaussian orthogonal ensemble (GOE), while the eigenvector components exhibit a distribution markedly different from the expected Gaussian behavior. The transition to chaotic behavior in level spacing statistics occurs in the perturbative regime, and the distribution of eigenvector components does not appear to change or approach Gaussian behavior even for relatively large perturbations.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
Marek Gluza, Per Moosavi, Spyros Sotiriadis
Summary: Studying inhomogeneous TLLs, where the propagation velocity and Luttinger parameter become functions of position, it is found that they have profound effects on the dynamics. Specifically, if the Luttinger parameter depends on position, pronounced spreading into the light cone occurs. This is observed in ultracold atoms in a parabolic trap.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2022)
Article
Physics, Multidisciplinary
David X. Horvath, Spyros Sotiriadis, Marton Kormos, Gabor Takacs
Summary: We study inhomogeneous quantum quenches in the attractive regime of the sine-Gordon model. We observe an interesting transition in the expectation value of the soliton density by varying either the interaction strength of the sine-Gordon model or the amplitude of the external source field. The interplay between bosonic and fermionic excitations influences the dynamics of the system in arbitrary inhomogeneous settings.
Article
Physics, Multidisciplinary
Marek Gluza, Thomas Schweigler, Mohammadamin Tajik, Joao Sabino, Federica Cataldini, Frederik S. Moller, Si-Cong Ji, Bernhard Rauer, Joerg Schmiedmayer, Jens Eisert, Spyros Sotiriadis
Summary: We investigate two mechanisms leading to memory loss of non-Gaussian correlations in an isolated quantum system. One mechanism is based on spatial scrambling, resulting in locally Gaussian steady states. The other mechanism, called 'canonical transmutation', is based on the mixing of canonically conjugate fields, resulting in relative Gaussianity even at finite system sizes and times. Through analyzing experimental data, we find that canonical transmutation, rather than spatial scrambling, is responsible for Gaussification in the experiment. The study shows that both mechanisms reveal Gaussian correlations that are already present at the initial time, but practically inaccessible.
Article
Physics, Multidisciplinary
Mohammadamin Tajik, Ivan Kukuljan, Spyros Sotiriadis, Bernhard Rauer, Thomas Schweigler, Federica Cataldini, Joao Sabino, Frederik Moller, Philipp Schuettelkopf, Si-Cong Ji, Dries Sels, Eugene Demler, Joerg Schmiedmayer
Summary: This experiment verifies the area law of quantum mutual information, which is one of the fundamental properties of equilibrium states of gapped quantum many-body systems. It also investigates the dependence of mutual information on temperature and the separation between subsystems.
Article
Multidisciplinary Sciences
Mohammadamin Tajik, Marek Gluza, Nicolas Sebe, Philipp Schuettelkopf, Federica Cataldini, Joao Sabino, Frederik Moller, Si-Cong Ji, Sebastian Erne, Giacomo Guarnieri, Spyros Sotiriadis, Jens Eisert, Jorg Schmiedmayer
Summary: We investigate signal propagation in a quantum field simulator of the Klein-Gordon model using two strongly coupled parallel one-dimensional quasi-condensates. We observe the propagation of correlations along sharp light-cone fronts by measuring local phononic fields after a quench. The curved propagation fronts and reflection at sharp edges are observed when the local atomic density is inhomogeneous. By comparing the data with theoretical predictions, we find agreement with curved geodesics of an inhomogeneous metric.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2023)
Article
Materials Science, Multidisciplinary
Alvise Bastianello, Mario Collura, Spyros Sotiriadis
Article
Optics
Spyros Sotiriadis
Article
Physics, Multidisciplinary
Marko Ljubotina, Spyros Sotiriadis, Tomaz Prosen