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We investigate the non-equilibrium dynamics of isolated quantum spin systems via an exact mapping to classical stochastic differential equations. We show that one can address significantly larger system sizes than recently obtained,…

Strongly Correlated Electrons · Physics 2020-12-30 S. E. Begg , A. G. Green , M. J. Bhaseen

The efficient representation of quantum many-body states with classical resources is a key challenge in quantum many-body theory. In this work we analytically construct classical networks for the description of the quantum dynamics in…

Strongly Correlated Electrons · Physics 2018-03-01 Markus Schmitt , Markus Heyl

By means of the discrete truncated Wigner approximation we study dynamical phase transitions arising in the steady state of transverse-field Ising models after a quantum quench. Starting from a fully polarized ferromagnetic initial…

Quantum Gases · Physics 2020-07-15 Reyhaneh Khasseh , Angelo Russomanno , Markus Schmitt , Markus Heyl , Rosario Fazio

In this work we introduce a phase-space description based on the positive P representation for bosonic fields interacting with a system of quantum emitters. The formalism is applicable to collective light-matter interactions and open…

Quantum Physics · Physics 2023-07-03 Stasis Chuchurka , Andrei Benediktovitch , Nina Rohringer

The systematic approach for the calculations of the non-perturbative contributions to the free energy in the ferromagnetic phase of the random field Ising model is developed. It is demonstrated that such contributions appear due to…

Disordered Systems and Neural Networks · Physics 2009-11-11 Victor Dotsenko

Identifying quantum phase transitions poses a significant challenge in condensed matter physics, as this requires methods that both provide accurate results and scale well with system size. In this work, we demonstrate how relaxation…

Strongly Correlated Electrons · Physics 2026-02-11 David Jansen , Donato Farina , Luke Mortimer , Timothy Heightman , Andreas Leitherer , Pere Mujal , Jie Wang , Antonio Acín

We propose a general framework for solving statistical mechanics of systems with finite size. The approach extends the celebrated variational mean-field approaches using autoregressive neural networks, which support direct sampling and…

Statistical Mechanics · Physics 2019-06-10 Dian Wu , Lei Wang , Pan Zhang

We introduce and solve a semi-classical random walk (RW) model that describes the dynamics of spin polarization waves in zinc-blende semiconductor quantum wells. We derive the dispersion relations for these waves, including the Rashba,…

Mesoscale and Nanoscale Physics · Physics 2011-03-31 Luyi Yang , J. Orenstein , Dung-Hai Lee

We study the critical properties of finite-dimensional dissipative quantum spin systems with uniform ferromagnetic interactions. Starting from the transverse-field Ising model coupled to a bath of harmonic oscillators with Ohmic spectral…

Quantum Physics · Physics 2016-10-06 Kabuki Takada , Hidetoshi Nishimori

We demonstrate quantum circuit simulations of the transverse field Ising model with longitudinal fields, displaying salient features of glassy dynamics. The energy landscape and spin configurations of toy models are considered, using the…

Quantum Physics · Physics 2026-01-26 Shah Ishmam Mohtashim , Arnav Das , Turbasu Chatterjee , Farhan Tanvir Chowdhury

We perform a quantum simulation of the Ising model with a transverse field using a collection of three trapped atomic ion spins. By adiabatically manipulating the Hamiltonian, we directly probe the ground state for a wide range of fields…

Quantum Physics · Physics 2011-12-15 E. E. Edwards , S. Korenblit , K. Kim , R. Islam , M. -S. Chang , J. K. Freericks , G. -D. Lin , L. -M. Duan , C. Monroe

We investigate the quench dynamics of the transverse field Ising model on a finite fully connected lattice as a prime example of non-equilibrium mean field dynamics. Using a rate function approach we compute the leading order corrections to…

Statistical Mechanics · Physics 2019-10-24 Ingo Homrighausen , Stefan Kehrein

We investigate a class of cyclic evolutions for %the cyclic evolution of driven two-level quantum systems (effective spin-1/2) with a particular focus on the geometric characteristics of the driving and their specific imprints on the…

Mesoscale and Nanoscale Physics · Physics 2020-05-20 Zu-Jian Ying , Paola Gentile , José Pablo Baltanàs , Diego Frustaglia , Carmine Ortix , Mario Cuoco

The behaviour of random quantum walks is known to be diffusive. Here we study discrete time quantum walks in weak stochastic gauge fields. In the case of position and spin dependent gauge field, we observe a transition from ballistic to…

Quantum Physics · Physics 2024-06-21 Jan Wójcik

A long-standing challenge in mixed quantum-classical trajectory simulations is the treatment of entanglement between the classical and quantal degrees of freedom. We present a novel approach which describes the emergence of entangled states…

Chemical Physics · Physics 2024-07-18 Johan E. Runeson , Jeremy O. Richardson

The recently discovered dynamical phase transition denotes non-analytic behavior in the real time evolution of quantum systems in the thermodynamic limit and has been shown to occur in different systems at zero temperature [Heyl et al.,…

Statistical Mechanics · Physics 2016-03-23 Nils O. Abeling , Stefan Kehrein

Multifield models with a curved field space have already been shown to be able to provide viable quintessence models for steep potentials that satisfy swampland bounds. The simplest dynamical systems of this type are obtained by coupling…

High Energy Physics - Theory · Physics 2020-10-28 Michele Cicoli , Giuseppe Dibitetto , Francisco G. Pedro

We propose a generalization of the stochastic gauge fixing procedure for the stochastic quantization of gauge theories where not only the drift term of the stochastic process is changed but also the Wiener process itself. All gauge…

High Energy Physics - Theory · Physics 2009-10-30 Helmuth Huffel , Gerald Kelnhofer

We propose a novel way of investigating the universal properties of spin systems by coupling them to an ensemble of causal dynamically triangulated lattices, instead of studying them on a fixed regular or random lattice. Somewhat…

High Energy Physics - Lattice · Physics 2008-11-26 D. Benedetti , R. Loll

With large-scale Monte Carlo simulations, we investigate the nonsteady relaxation at the dynamic depinning transition in the two-dimensional Gaussian random-field Ising model. The dynamic scaling behavior is carefully analyzed, and the…

Statistical Mechanics · Physics 2023-06-21 Xiaohui Qian , Gaotian Yu , Nengji Zhou