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Observations of macroscopic quantum coherence in driven systems, e.g. polariton condensates, have strongly stimulated experimental as well as theoretical efforts during the last decade. We address the question of whether a driven quantum…

Quantum Gases · Physics 2013-12-16 Alexander Janot , Timo Hyart , Paul R. Eastham , Bernd Rosenow

The quantum Griffiths singularity (QGS) is a phenomenon driven by quenched disorders that break conventional scaling invariance and result in a divergent dynamical critical exponent during quantum phase transitions (QPT). While this…

We study the off-equilibrium dynamics of the infinite dimensional Bose Hubbard Model after a quantum quench. The dynamics can be analyzed exactly by mapping it to an effective Newtonian evolution. For integer filling, we find a dynamical…

Quantum Gases · Physics 2010-12-17 Bruno Sciolla , Giulio Biroli

Quantum Griffiths singularity (QGS), which is closely correlated with the quenched disorder, is characterized by the divergence of the dynamical critical exponent and the presence of activated scaling behavior. Typically such a quantum…

Superconductivity · Physics 2023-03-20 Xiaoni Wang , Lijie Wang , Yixin Liu , Fan Chen , Wanpeng Gao , Yu Wu , Zulei Xu , Wei Peng , Zhen Wang , Zengfeng Di , Wei Li , Gang Mu , Zhirong Lin

In this work we combine quantum renormalization group approaches with deep artificial neural networks for the description of the real-time evolution in strongly disordered quantum matter. We find that this allows us to accurately compute…

Disordered Systems and Neural Networks · Physics 2021-07-28 Heiko Burau , Markus Heyl

We study the probability of arbitrary density profiles in conserving diffusive fields which are driven by the boundaries. We demonstrate the existence of singularities in the large-deviation functional, the direct analog of the free-energy…

Statistical Mechanics · Physics 2015-10-07 Guy Bunin , Yariv Kafri , Daniel Podolsky

We study the strong role played by structural (quenched) heterogeneities on static and dynamic properties of the Frustrated Ising Lattice Gas in two dimensions, already in the liquid phase. Differently from the dynamical heterogeneities…

Disordered Systems and Neural Networks · Physics 2009-11-10 Mendeli H. Vainstein , Daniel A. Stariolo , Jeferson J. Arenzon

The nonequilibrium dynamics of molecular devices is studied in the framework of a generic model for single-molecule transistors: a resonant level coupled by displacement to a single vibrational mode. In the limit of a broad level and in the…

Strongly Correlated Electrons · Physics 2013-03-28 Yuval Vinkler , Avraham Schiller , Natan Andrei

We consider the quantum quench in the XX spin chain starting from a tilted N\'eel state which explicitly breaks the $U(1)$ symmetry of the post-quench Hamiltonian. Very surprisingly, the $U(1)$ symmetry is not restored at large time because…

Statistical Mechanics · Physics 2023-09-06 Filiberto Ares , Sara Murciano , Eric Vernier , Pasquale Calabrese

We investigate how the breaking of charge conjugation symmetry $\mathcal{C}$ impacts on the dynamics of a half-filled fermionic lattice system after global quenches. We show that, when the initial state is insulating and the…

Quantum Gases · Physics 2024-01-09 Lorenzo Rossi , Luca Barbiero , Jan Carl Budich , Fabrizio Dolcini

We consider a disordered asymmetric exclusion process in which randomly chosen sites do not conserve particle number. The model is motivated by features of many interacting molecular motors such as RNA polymerases. We solve the steady state…

Statistical Mechanics · Physics 2009-11-10 M. R. Evans , T. Hanney , Y. Kafri

We introduce a phenomenological theory for many-body control of critical phenomena by engineering causally-induced gaps for quantum Hamiltonian systems. The core mechanisms are controlling information flow within and/or between clusters…

Quantum Physics · Physics 2018-10-22 Masoud Mohseni , Johan Strumpfer , Marek M. Rams

Quantum coherence generated in a physical process can only be cast as a potentially useful resource if its effects can be detected at a later time. Recently, the notion of non-coherence-generating-and-detecting (NCGD) dynamics has been…

Localization due to the presence of disorder has proven crucial for our current understanding of relaxation in isolated quantum systems. The many-body localized phase constitutes a robust alternative to the thermalization of complex…

Strongly Correlated Electrons · Physics 2020-10-21 Irene Papaefstathiou , Adam Smith , Johannes Knolle

The time evolution of a physical system is generally described by a differential equation, which can be solved numerically by adopting a difference scheme with space-time discretization. This discretization, as a numerical artifact, results…

Quantum Physics · Physics 2024-02-01 Shuohang Wu , Zi Cai

In this note we demonstrate that a quantum-like interference picture could appear as a statistical effect of interference of deterministic particles, i.e. particles that have trajectories and obey deterministic equations, if one introduces…

Quantum Physics · Physics 2007-05-23 Andrei Khrennikov , Yaroslav Volovich

We set the criteria under which superposition of causal order can be incorporated in to quantum walks. In particular, we show that only periodic quantum walks or those with at least one disorder exhibit Superposition of causal order under…

Quantum Physics · Physics 2025-03-11 Prateek Chawla , Shrikant Utagi , C. M. Chandrashekar

We present a class of stochastic processes in which the large deviation functions of time-integrated observables exhibit singularities that relate to dynamical phase transitions of trajectories. These illustrative examples include Brownian…

Statistical Mechanics · Physics 2025-12-24 Yogeesh Reddy Yerrababu , Satya N. Majumdar , Benjamin Guiselin , Tridib Sadhu

A crossover between different power-law relaxation behaviors of many-body periodically driven integrable systems has come to light in recent years. We demonstrate using integrable quantum systems, that similar kinds of dynamical transitions…

Statistical Mechanics · Physics 2022-02-03 Aamir Ahmad Makki , Souvik Bandyopadhyay , Somnath Maity , Amit Dutta

Long-lived single-frequency oscillations in the local non-equilibrium dynamics of a quantum many-body system is an exceptional phenomenon. In fact, till now, it has never been observed, nor predicted, for the physically relevant case where…

Strongly Correlated Electrons · Physics 2015-10-28 Abolfazl Bayat , Sougato Bose , Henrik Johannesson , Pasquale Sodano