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Quantum circuits make it possible to simulate the continuous-time dynamics of a many-body Hamiltonian by implementing discrete Trotter steps of duration $\tau$. However, when $\tau$ is sufficiently large, the discrete dynamics exhibit…

Statistical Mechanics · Physics 2025-05-05 Friedrich Hübner , Eric Vernier , Lorenzo Piroli

Hydrodynamics accurately describes relativistic heavy-ion collision experiments well before local thermal equilibrium is established. This unexpectedly rapid onset of hydrodynamics -- which takes place on the fastest available timescale --…

Quantum Gases · Physics 2023-06-30 Yuan Le , Yicheng Zhang , Sarang Gopalakrishnan , Marcos Rigol , David S. Weiss

Generic interacting many-body quantum systems are believed to behave as classical fluids on long time and length scales. Due to rapid progress in growing exceptionally pure crystals, we are now able to experimentally observe this collective…

Strongly Correlated Electrons · Physics 2018-01-08 Andrew Lucas , Kin Chung Fong

These are notes based on lectures given at the 2021 summer school on Fundamental Problems in Statistical Physics XV. Their purpose is to give a very brief introduction to Generalized Hydrodynamics, which provides a description of the large…

Statistical Mechanics · Physics 2023-06-30 Fabian H L Essler

The computational and theoretical analysis carried out in this article demonstrates the existence of a nontrivial mechanism for the compression of a submicron-sized gas bubble formed by a gas of classical ions and a gas of degenerate…

The generalized hydrodynamic (GHD) approach has been extremely successful in describing the out-of-equilibrium properties of a great variety of integrable many-body quantum systems. It naturally extracts the large-scale dynamical degrees of…

High Energy Physics - Theory · Physics 2021-08-30 Olalla A. Castro-Alvaredo , Cecilia De Fazio , Benjamin Doyon , Francesco Ravanini

We investigated the equilibrium properties of a one-dimensional system of classical particles which interact in pairs through a bounded repulsive potential with a Gaussian shape. Notwithstanding the absence of a proper fluid-solid phase…

Soft Condensed Matter · Physics 2012-01-11 Cristina Speranza , Santi Prestipino , Paolo V. Giaquinta

In an effort to address integrability breaking in cold gas experiments, we extend the integrable hydrodynamics of the 1d Lieb-Liniger model with two additional components representing the population of atoms in the first and second…

Hydrodynamic theories offer successful approaches that are capable of simulating the otherwise difficult-to-compute dynamics of quantum many-body systems. In this work we derive, within the positive-P phase-space formalism, a new stochastic…

Quantum Gases · Physics 2022-10-21 S. A. Simmons , J. C. Pillay , K. V. Kheruntsyan

We investigate the formation of quantum droplets at finite temperature in attractive Bose mixtures subject to a strong transverse harmonic confinement. By means of exact path-integral Monte Carlo methods we determine the equilibrium density…

Quantum Gases · Physics 2024-08-20 Gabriele Spada , Sebastiano Pilati , Stefano Giorgini

In this paper we evaluate the averages of conserved densities and currents associated to charges of generic spin in (1+1)-dimensional massive integrable Quantum Field Theories perturbed by the irrelevant $\mathrm{T\bar{T}}$ operator. By…

High Energy Physics - Theory · Physics 2024-07-23 Riccardo Travaglino , Michele Mazzoni , Olalla A. Castro-Alvaredo

In the research of condensed matter, atomistic dynamic simulations play a crucial role, particularly in revealing dynamic processes, phase transitions and thermodynamic statistics macroscopic physical properties in systems such as solids…

Materials Science · Physics 2025-05-30 Hongyu Wu , Wenliang Shi , Ri He , Guoyong Shi , Chunxiao Zhang , Zhicheng Zhong , Run-wei Li

Mirroring their role in electrical and optical physics, two-dimensional crystals are emerging as novel platforms for fluid separations and water desalination, which are hydrodynamic processes that occur in nanoscale environments. For…

Statistical Mechanics · Physics 2016-05-11 Steven E. Strong , Joel D. Eaves

We consider the out-of-equilibrium dynamics of an interacting integrable system in the presence of an external dephasing noise. In the limit of large spatial correlation of the noise, we develop an exact description of the dynamics of the…

Statistical Mechanics · Physics 2020-10-21 Alvise Bastianello , Jacopo De Nardis , Andrea De Luca

Integrable systems feature an infinite number of conserved charges and on hydrodynamic scales are described by generalised hydrodynamics (GHD). This description breaks down when the integrability is weakly broken and sufficiently large…

Statistical Mechanics · Physics 2025-06-18 Maciej Łebek , Miłosz Panfil

We theoretically investigate the droplets formation in a tightly trapped one-dimensional dipolar gas of bosonic atoms. When the strength of the dipolar interaction becomes sufficiently attractive compared to the contact one, we show how a…

Quantum Gases · Physics 2022-07-06 S. De Palo , E. Orignac , R. Citro

We investigate the occurrence of waterlike thermodynamic and dynamic anomalous behavior in a one dimensional lattice gas model. The system thermodynamics is obtained using the transfer matrix technique and anomalies on density and…

Soft Condensed Matter · Physics 2015-03-11 Marco Aurélio A. Barbosa , Fernando Vito Barbosa , Fernando Albuquerque de Oliveira

We study collisions between two strongly interacting atomic Fermi gas clouds. We observe exotic nonlinear hydrodynamic behavior, distinguished by the formation of a very sharp and stable density peak as the clouds collide and subsequent…

Quantum Gases · Physics 2012-01-18 James Joseph , John E. Thomas , Manas Kulkarni , Alexander G. Abanov

Unstable particles rarely feature in conjunction with integrability in 1+1D quantum field theory. However, the family of homogenous sine-Gordon models provides a rare example where both stable and unstable bound states are present in the…

High Energy Physics - Theory · Physics 2022-04-27 Olalla A. Castro-Alvaredo , Cecilia De Fazio , Benjamin Doyon , Aleksandra A. Ziółkowska

This brief review summarizes recent theoretical and experimental results which predict and establish the existence of quantum droplets (QDs), i.e., robust two- and three-dimensional (2D and 3D) self-trapped states in Bose-Einstein…

Quantum Gases · Physics 2020-10-21 Zhihuan Luo , Wei Pang , Bin Liu , Yongyao Li , Boris A. Malomed