Article
Materials Science, Multidisciplinary
Rebekka Koch, Alvise Bastianello, Jean-Sebastien Caux
Summary: This study focuses on the formation of bound states in one-dimensional interacting Bose gas, with results determined analytically within the framework of generalized hydrodynamics. The findings are applicable to various initial thermal states and generalized Gibbs ensembles.
Article
Optics
Tobias Ilg, Hans Peter Buechler
Summary: We study the behavior of the excitation spectrum across the quantum phase transition from a superfluid to a supersolid phase of a dipolar Bose gas in one dimension. Using an effective Hamiltonian that includes beyond-mean-field effects, we analyze the system based on Bogoliubov theory with multiple order parameters. Our results show that the supersolid phase exhibits a stable excitation spectrum with Goldstone modes and an amplitude mode in the low-energy regime, and the transition into the supersolid phase is driven by the roton instability in a parameter regime achievable for dysprosium atoms.
Article
Optics
Maciej Lebek, Andrzej Syrwid, Piotr T. Grochowski, Kazimierz Rzazewski
Summary: We analyze the dynamics of one-dimensional quantum gases with strongly attractive contact interactions and find that attractive forces can effectively act as strongly repulsive ones. Our findings extend the theoretical results on the super-Tonks-Girardeau gas and have implications for the domain stability in a two-component Fermi gas. We also discuss the effects of finite-range interactions and analyze the universality of the presented results. Moreover, our conclusions support the existence of metastable quantum droplets in the regime of strongly attractive contact and attractive dipolar interactions.
Article
Physics, Multidisciplinary
Xiaoming Cai, Hongting Yang, Hai-Long Shi, Chaohong Lee, Natan Andrei, Xi-Wen Guan
Summary: Recent research has rigorously studied the QWs of three indistinguishable bosons and fermions in one-dimensional lattices, demonstrating that strong correlations can lead to statistics- and interaction-dependent ballistic transports.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
Milosz Panfil, Sarang Gopalakrishnan, Robert M. Konik
Summary: Many experimentally relevant systems are quasi-one-dimensional, consisting of nearly decoupled chains, where weak interchain couplings play a crucial role in thermalizing the system. We developed a Boltzmann-equation formalism involving a collision integral that is asymptotically exact for any interacting integrable system, and applied it to study relaxation in coupled Bose gases in the Newton's cradle setup. We found that relaxation involves a broad spectrum of timescales and the Markov process governing relaxation at late times is gapless, leading to nonexponential approach to equilibrium even for spatially uniform perturbations.
PHYSICAL REVIEW LETTERS
(2023)
Article
Physics, Multidisciplinary
Jun Hui See Toh, Katherine C. McCormick, Xinxin Tang, Ying Su, Xi-Wang Luo, Chuanwei Zhang, Subhadeep Gupta
Summary: In this study, the evolution of dynamically localized states in an interacting one-dimensional ultracold gas periodically kicked by a pulsed optical lattice was experimentally studied. The interaction was found to lead to the emergence of dynamical delocalization and many-body quantum chaos.
Article
Mathematics, Applied
Argha Debnath, Ayan Khan, Boris Malomed
Summary: This study investigates the static and dynamical properties of one-dimensional quantum droplets under the influence of local potentials in the form of narrow wells and barriers. The dynamics of the droplets are described by the one-dimensional Gross-Pitaevskii equation, including meanfield and beyond-mean-field terms. Stable solutions for localized states pinned to the well are found, and approximations for the well and the collision of the droplet with the barrier are developed. Simulations analyze the collisions of droplets with the wells and barriers, identifying outcomes such as fission and rebound effects.
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
(2023)
Article
Mathematics, Interdisciplinary Applications
Abdelaali Boudjemaa, Khelifa Mohammed Elhadj
Summary: We investigate the behavior of discrete quantum droplets in one-dimensional binary Bose mixtures. By solving the generalized discrete Gross-Pitaevskii equation, we obtain analytical expressions for various properties of small droplets. Our results show that the stationary state of small droplets remains intact for weak lattice coupling, while irregular dynamics and flat-top plateau are observed for relatively strong coupling. Additionally, we find that the interaction between two droplets is weak and they cannot form a bound-state due to the interplay of discreteness and quantum fluctuations.
CHAOS SOLITONS & FRACTALS
(2023)
Article
Optics
Yabo Li, Dominik Schneble, Tzu-Chieh Wei
Summary: We investigate dynamically coupled one-dimensional Bose-Hubbard models and solve for the wave functions and energies of two-particle eigenstates. Our study reveals the existence of four different continua and three doublon dispersions in the two-particle spectrum of a system with generic interactions. The presence of doublons and their energies depend on the coupling strength between two species of bosons and the interaction strengths. We provide details on the spectrum and properties of two-particle states, and analyze the difference in time evolution under different coupling strengths and the relation between the long-time behavior of the system and the doublon dispersion. These dynamics can be observed in cold atoms and potentially simulated by digital quantum computers.
Article
Physics, Multidisciplinary
Neil Robinson, Albertus J. J. M. de Klerk, Jean-Sebastien Caux
Summary: A numerical approach has been developed to generate states with high overlaps for computing non-equilibrium dynamics following a quantum quench in the Lieb-Liniger model. The method is non-perturbative, works for reasonable numbers of particles, and applies to both continuum and lattice systems. It can also be easily extended to more complicated scenarios, including those with integrability breaking.
Article
Physics, Multidisciplinary
Martin Bonkhoff, Kevin Jaegering, Sebastian Eggert, Axel Pelster, Michael Thorwart, Thore Posske
Summary: Research shows that anyons with arbitrary exchange phases exist on 1D lattices and can be derived from interacting bosons in continuum theories. This theory maintains the exchange phase periodicity similar to 2D anyons and predicts different velocities for left- and right-moving collective excitations.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
M. Will, G. E. Astrakharchik, M. Fleischhauer
Summary: The article presents a detailed study of heavy polarons in a one-dimensional Bose gas using a nonperturbative theory and exact numerical simulations. Analytic approaches for weak boson-boson interactions and strong impurity-boson couplings were developed, and the interaction potential of heavy polarons was found to deviate substantially from the exponential form in the strong coupling limit. Calculations of bipolaron binding energies for low impurity-boson mass ratios were in excellent agreement with quantum Monte Carlo results, taking into account Born-Huang corrections.
PHYSICAL REVIEW LETTERS
(2021)
Article
Optics
Allan D. C. Tosta, Ernesto F. Galvao, Daniel J. Brod
Summary: This study focuses on the dynamics of bosonic and fermionic anyons defined on a one-dimensional lattice under the influence of Gaussian Hamiltonians. It explores the effects of anyonic exchange phase on their bunching behaviors and demonstrates the potential to generate cat states for quantum information processing. Additionally, it shows the possibility of building a deterministic, entangling two-qubit gate using the inherent Aharonov-Bohm effect exhibited by these particles, proving quantum computational universality in these systems.
Article
Materials Science, Multidisciplinary
S. De Palo, E. Orignac, R. Citro
Summary: In this study, we theoretically investigate the process of droplet formation in a one-dimensional dipolar gas. We found that when the strength of the dipolar interaction is sufficiently strong, the gas transitions into droplets with liquid-like density profiles. This transition is characterized by an increase in the breathing mode and a change in sign of the chemical potential. Additionally, we observed that the droplets can undergo evaporation, form a single self-bound droplet, or fragment into multiple droplets upon sudden release of the trap and variations in the number of trapped atoms and scattering length. These findings provide insights into the effect of the dipolar interaction in a quasi-one-dimensional geometry.
Article
Physics, Multidisciplinary
Shuhui Yang, Tao Ying, Xiudong Sun
Summary: This study investigates the quantum behaviors of hardcore bosons with finite-range interactions in one-dimensional optical lattices using the Quantum Monte Carlo algorithm. It reveals a phase transition from superfluid to supersolid and finally to CDW phase as the interaction strength increases, while also examining the effects of finite temperature and finite size.
Article
Mechanics
Lorenzo Piroli, Alex Turzillo, Sujeet K. Shukla, J. Ignacio Cirac
Summary: In this paper, the study focuses on matrix-product unitary operators (MPUs) for fermionic one-dimensional chains. A natural generalization of fermionic MPUs is introduced, which preserves locality and is equivalent to fermionic quantum cellular automata (fQCA). An index theorem for generalized MPUs is proven, recovering the classification of fQCA in one dimension.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2021)
Article
Physics, Multidisciplinary
Katja Klobas, Bruno Bertini, Lorenzo Piroli
Summary: In this study, the out-of-equilibrium dynamics of the quantum cellular automaton Rule 54 was examined, revealing the full thermalization dynamics at a microscopic level using simple quantum channels for low-entangled initial states. Analytic formulas for the evolution of local observables and Renyi entropies were provided, showing that Rule 54 does not behave as a simple Markovian bath and exhibits nonequilibrium features of interacting integrable many-body quantum systems. This study offers a rare example where the entire thermalization dynamics can be exactly solved at the microscopic level.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
Zongping Gong, Lorenzo Piroli, J. Ignacio Cirac
Summary: In modern quantum chaos theory, a fundamental result is the upper bound on the growth of out-of-time-order correlators, which is related to the operator-space entanglement entropy of the evolution operator. For one-dimensional quantum cellular automata (QCA), there exists a lower bound on quantum chaos quantified by such entanglement entropy, equal to twice the index of the QCA. This rigorous bound rules out the possibility of any sublinear entanglement growth behavior and shows that many-body localization is forbidden for unitary evolutions displaying nonzero index.
PHYSICAL REVIEW LETTERS
(2021)
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
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
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
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
Astronomy & Astrophysics
Sara Murciano, Pasquale Calabrese, Lorenzo Piroli
Summary: This work investigates the average entanglement entropy of symmetry resolved Page curves in the presence of a conservation law. Explicit analytic formulas are derived for two important statistical ensembles with a U(1)-symmetry, Haar-random pure states and random fermionic Gaussian states. Numerical calculations are conducted to test the predictions and discuss the subleading finite-size corrections.
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
Stefano Scopa, Pasquale Calabrese, Lorenzo Piroli
Summary: This study revisits early suggestions to observe spin-charge separation in cold-atom settings by studying the evolution of one-dimensional repulsive Fermi gases in a harmonic potential. The results show that at low temperature and zero magnetic field, spin and charge dynamically decouple with quantitatively small quantum corrections. At finite temperature, the effects of spin-charge separation still persist, and the specific temperature at which the two distinguishable excitations melt is explicitly characterized through numerical simulations of the GHD equations.
