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We study dynamical quantum phase transitions (DQPTs) in the extended Bose-Hubbard model after a sudden quench of the nearest-neighbor interaction strength. Using the time-dependent density matrix renormalization group, we demonstrate that…

Quantum Gases · Physics 2023-05-03 Sebastian Stumper , Michael Thoss , Junichi Okamoto

We introduce a one-dimensional (1D) spatially inhomogeneous Bose-Hubbard model (BHM) with the strength of the onsite repulsive interactions growing, with the discrete coordinate $z_{j}$, as $|z_{j}|^{\alpha }$ with $\alpha >0$. Recently,…

Quantum Gases · Physics 2015-01-16 L. Barbiero , B. A. Malomed , L. Salasnich

We explore the interplay between tunneling and interatomic interactions in the dynamics of a bosonic Josephson junction. We tune the scattering length of an atomic $^{39}$K Bose-Einstein condensate confined in a double-well trap to…

The pervasive presence spatial and size structure in biological populations challenges fundamental assumptions at the heart of continuum models of population dynamics based on mean densities (local or global) only. Individual-based models…

Populations and Evolution · Quantitative Biology 2012-02-29 Michael Raghib , Nicholas A. Hill , Ulf Dieckmann

The topological features of quantum many-body wave functions are known to have profound consequences for the physics of ground-states and their low-energy excitations. We describe how topology influences the dynamics of many-body systems…

Strongly Correlated Electrons · Physics 2019-12-30 Max McGinley , Nigel R. Cooper

Ergodic quantum many-body systems evolving under unitary time dynamics typically lose memory of their initial state via information scrambling. Here we consider a paradigmatic translationally invariant many-body Hamiltonian of interacting…

Strongly Correlated Electrons · Physics 2025-03-17 Rohit Mukherjee , Haoyu Guo , Keiran Lewellen , Debanjan Chowdhury

We use a Hamiltonian dynamics to discuss the statistical mechanics of long-lasting quasi-stationary states particularly relevant for long-range interacting systems. Despite the presence of an anomalous single-particle velocity distribution,…

Statistical Mechanics · Physics 2009-11-11 Fulvio Baldovin , Enzo Orlandini

We theoretically consider effectively one-dimensional quantum droplets in a symmetric Bose-Bose mixture confined in a parabolic trap. We systematically investigate ground and excited families of localized trapped modes which bifurcate from…

Quantum Gases · Physics 2023-04-12 Dmitry A. Zezyulin

We study the energy redistribution of interacting bosons in a ring-shaped quantum trimer as the coupling strength between neighboring sites of the corresponding Bose-Hubbard Hamiltonian undergoes a sudden change dk. Our analysis is based on…

Other Condensed Matter · Physics 2009-09-03 Moritz Hiller , Tsampikos Kottos , Theo Geisel

The emergence of quantum chaos in a system of trapped interacting bosons with externally impressed rotation is studied through spectral form factor (SFF) and power spectrum using exact diagonalization. Two distinct interaction regimes are…

Quantum Gases · Physics 2026-03-17 Mohd Talib , M. A. H. Ahsan

We analyse the formation and the dynamics of quantum turbulence in a two-dimensional Bose-Einstein condensate with a Josephson junction barrier modelled using the Gross-Pitaevskii equation. We show that a sufficiently high initial…

Quantum Gases · Physics 2020-06-24 Adam Griffin , Sergey Nazarenko , Davide Proment

In how far does an non-equilibrium initial ensemble evolve towards a stationary long time behavior for an isolated macroscopic quantum system? We demonstrate that deviations from a steady state indeed become unmeasurably small or…

Statistical Mechanics · Physics 2012-10-23 Peter Reimann

We consider the precise quantum state of two trapped, coupled Bose Einstein condensates in the two-mode approximation. We seek a representation of the state in terms of a Wigner-like distribution on the two-mode Bloch sphere. The problem is…

Condensed Matter · Physics 2009-10-30 M. J. Steel , M. J. Collett

We investigate the microscopic features of bosonic quantum transport in a non-equilibrium steady state, which breaks time reversal invariance spontaneously. The analysis is based on the probability distributions, generated by the…

Statistical Mechanics · Physics 2022-04-19 Mihail Mintchev , Luca Santoni , Paul Sorba

We study some aspects of equilibrium and off equilibrium quantum dynamics of dilute bosonic gases in the presence of a trapping potential. We consider systems with a fixed number of particles N and study their scaling behavior with…

Quantum Gases · Physics 2015-03-17 Massimo Campostrini , Ettore Vicari

We analyze the quantum quench dynamics in the formation of a phase-biased superconducting nanojunction. We find that in the absence of an external relaxation mechanism and for very general conditions the system gets trapped in a metastable…

Mesoscale and Nanoscale Physics · Physics 2017-09-01 R. Seoane Souto , A. Martín-Rodero , A. Levy Yeyati

We consider a Bose-Josephson junction (BJJ) formed by a binary mixture of ultracold atoms to investigate the manifestation of coherent collective dynamics on ergodicity and quantum scars, unfolding the connection between them. By tuning the…

Statistical Mechanics · Physics 2022-10-26 Debabrata Mondal , Sudip Sinha , Sayak Ray , Johann Kroha , Subhasis Sinha

We study the stability of attractive atomic Bose-Einstein condensate and the macroscopic quantum many-body tunneling (MQT) in the anharmonic trap. We utilize correlated two-body basis function which keeps all possible two-body correlations.…

Quantum Gases · Physics 2013-09-17 Sudip Kumar Haldar , Pankaj Debnath , Barnali Chakrabarti

We study a driven, spin-orbit coupled fermionic system in a lattice at the resonant regime where the drive frequency equals the Hubbard repulsion, for which non-trivial constrained dynamics emerge at fast timescales. An effective…

Quantum Physics · Physics 2019-10-02 Mikhail Mamaev , Itamar Kimchi , Michael A. Perlin , Rahul M. Nandkishore , Ana Maria Rey

We study the entanglement entropy and entanglement spectrum of the paradigmatic Bose-Hubbard model, describing strongly correlated bosons on a lattice. The use of a controlled approximation - the slave-boson approach - allows us to study…

Strongly Correlated Electrons · Physics 2016-05-18 Irénée Frérot , Tommaso Roscilde
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