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Metaheuristic and self-organizing criticality (SOC) could contribute to robust computation under perturbed environments. Implementing a logic gate in a computing system in a critical state is one of the intriguing ways to study the role of…

Artificial Intelligence · Computer Science 2021-12-16 Yukio-Pegio Gunji , Yoshihiko Ohzawa , Terutaka Tanaka

We investigate the percolation properties of a two-state (occupied - empty) cellular automaton, where at each time step a cluster of occupied sites is removed and the same number of randomly chosen empty sites are occupied again. We find a…

Statistical Mechanics · Physics 2009-10-30 Siegfried Clar , Barbara Drossel , Klaus Schenk , Franz Schwabl

Dynamical quantum phase transitions (DQPTs) are a powerful concept of probing far-from-equilibrium criticality in quantum many-body systems. With the strong ongoing experimental drive to quantum-simulate lattice gauge theories, it becomes…

Strongly Correlated Electrons · Physics 2022-12-13 Maarten Van Damme , Torsten V. Zache , Debasish Banerjee , Philipp Hauke , Jad C. Halimeh

Spontaneous symmetry breaking is a hallmark of equilibrium systems, typically characterized by a single critical point separating ordered and disordered phases. Recently, a novel class of non-equilibrium phase transitions was uncovered…

Statistical Mechanics · Physics 2025-12-16 Gustavo A. L. Forão , Jonas Berx , Tan Van Vu , Carlos E. Fiore

Unitary quantum gates constitute the building blocks of Quantum Computing in the circuit paradigm. In this work, we engineer a locally driven two-qubit Hamiltonian whose instantaneous ground-state dynamics generates the controlled-NOT…

Digital quantum simulation is a promising application of quantum computers, where quantum dynamics is simulated by using quantum gate operations. Many techniques for decomposing a time-evolution operator of quantum dynamics into simulatable…

Quantum Physics · Physics 2022-05-17 Takuya Hatomura

A dynamical quantum phase transition can occur during time evolution of sudden quenched quantum systems across a phase transition. It corresponds to the nonanalytic behavior at a critical time of the rate function of the quantum state…

Quantum Physics · Physics 2019-05-14 Xue-Yi Guo , Chao Yang , Yu Zeng , Yi Peng , He-Kang Li , Hui Deng , Yi-Rong Jin , Shu Chen , Dongning Zheng , Heng Fan

Shared upstream dynamical processes are frequently the source of common inputs in various physical and biological systems. However, due to finite signal transmission speeds and differences in the distance to the source, time shifts between…

Neurons and Cognition · Quantitative Biology 2017-03-10 Ehsan Bolhasani , Yousef Azizi , Alireza Valizadeh , Matjaz Perc

We show that the interplay between geometric criticality and dynamical fluctuations leads to a novel universality class of the contact process on a randomly diluted lattice. The nonequilibrium phase transition across the percolation…

Statistical Mechanics · Physics 2007-05-23 Thomas Vojta , Man Young Lee

We study the physics of quantum phase transitions from the perspective of non-equilibrium thermodynamics. For first order quantum phase transitions, we find that the average work done per quench in crossing the critical point is…

Quantum Physics · Physics 2014-06-05 E. Mascarenhas , H. Braganca , R. Dorner , M. Franca Santos , V. Vedral , K. Modi , J. Goold

Quantum many body system in equilibrium can be effectively characterized using the framework of quantum statistical mechanics. However, nonequilibrium behaviour of quantum many body systems remains elusive, out of the range of such a well…

Quantum Physics · Physics 2020-05-14 Bing Chen , Xianfei Hou , Feifei Zhou , Peng Qian , Heng Shen , Nanyang Xu

Synchronization is a major concept in nonlinear physics. In a large number of systems, it is observed at long times for a sinusoidal excitation. In this paper, we design a transiently non-sinusoidal driving to reach the synchronization…

Quantum Physics · Physics 2023-01-11 François Impens , David Guéry-Odelin

We investigate a stochastic approach to non-equilibrium quantum spin systems based on recent insights linking quantum and classical dynamics. Exploiting a sequence of exact transformations, quantum expectation values can be recast as…

Statistical Mechanics · Physics 2019-01-31 S. De Nicola , B. Doyon , M. J. Bhaseen

The dynamics of a spin--1/2 neutral particle possessing electric and magnetic dipole moments interacting with external electric and magnetic fields in noncommutative coordinates is obtained. Noncommutativity of space is interposed in terms…

High Energy Physics - Theory · Physics 2009-08-03 Omer F. Dayi

Current quantum programs are mostly synthesized and compiled on the gate-level, where quantum circuits are composed of quantum gates. The gate-level workflow, however, introduces significant redundancy when quantum gates are eventually…

The many-body state of carriers confined in a quantum dot is controlled by the balance between their kinetic energy and their Coulomb correlation. In coupled quantum dots, both can be tuned by varying the inter-dot tunneling and…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 Massimo Rontani , Filippo Troiani , Ulrich Hohenester , Elisa Molinari

Non-equilibrium dynamics are present in many aspects of our lives, ranging from microscopic physical systems to the functioning of the brain. What characterizes stochastic models of non-equilibrium processes is the breaking of the…

Statistical Mechanics · Physics 2025-01-27 Sergei Shmakov , Peter B. Littlewood

A stochastic cellular automaton exhibiting parity conserving class transition has been investigated in the presence of quenched spatial disorder by large scale simulations. Numerical evidence has been found that weak disorder causes…

Statistical Mechanics · Physics 2009-11-11 Geza Odor , Nora Menyhard

We study the magnetic phases of a non-equilibrium spin chain, where coherent interactions between neighboring lattice sites compete with alternating gain and loss processes. This competition between coherent and incoherent dynamics induces…

Quantum Physics · Physics 2020-07-29 Julian Huber , Peter Kirton , Peter Rabl

We study an integrable spin chain with three spin interactions and the staggered field ($\lambda$) while the latter is quenched either slowly (in a linear fashion in time ($t$) as $t/\tau$ where $t$ goes from a large negative value to a…

Statistical Mechanics · Physics 2016-06-22 Uma Divakaran , Shraddha Sharma , Amit Dutta