Article
Quantum Science & Technology
Z. Abuali, F. H. Kamin, R. J. S. Afonso, D. O. Soares-Pinto, S. Salimi
Summary: Macroscopic thermodynamics assumes that system-evironment interactions do not affect equilibrium properties, but this may not hold for quantum systems in strong coupling regimes. We derive a thermodynamic uncertainty relation between intensive and extensive variables valid at all coupling regimes using quantum estimation theory, showing that the uncertainty of intensive variables increases with quantum fluctuations. We also calculate uncertainty relations for different ensembles to confirm earlier results, demonstrating the versatility of our method.
QUANTUM INFORMATION PROCESSING
(2023)
Article
Physics, Multidisciplinary
Masamichi Ishihara
Summary: The study investigates the density operator equations for generalized entropy and generalized expectation value in the presence of conserved quantities, with simplifications made for conventional expectations values as well as specific commutation relations. The extension of the argument of the density operator from canonical ensemble to generalized Gibbs ensemble is explored in different scenarios, showing potential implications for certain systems.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
(2021)
Article
Mechanics
Benjamin Doyon, Joseph Durnin
Summary: In this study, constraints on free energy fluxes in general, multi-component Eulerian fluid theory are discussed. These fluxes generate expectation values of currents, determine the equations of state and Euler-scale hydrodynamics, and are related to entropy currents.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2021)
Article
Physics, Multidisciplinary
Isabelle Jianing Geng, Kimberly Golubeva, Gilad Gour
Summary: SIC positive operator valued measures (POVMs) are a class of quantum measurements that satisfy three conditions, including the trace of each element being constant. A broader class of measurements called semi-SIC POVMs have been defined, with further research on their properties and applications ongoing.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
Alexander Evgen'evich Teretenkov
Summary: The effective Gibbs state for observables averaged with respect to fast free dynamics is introduced, showing that information loss due to restricted measurement capabilities is non-negative and discussing its thermodynamic role. Similarities between the effective Hamiltonian and mean force Hamiltonian were identified, suggesting a generalization of quantum thermodynamics. Perturbative calculations of the effective Hamiltonian and corrections to thermodynamic quantities were carried out, illustrated with several examples.
Article
Mechanics
Lorenzo Piroli, Alex Turzillo, Sujeet K. Shukla, J. Ignacio Cirac
Summary: In this paper, the study focuses on matrix-product unitary operators (MPUs) for fermionic one-dimensional chains. A natural generalization of fermionic MPUs is introduced, which preserves locality and is equivalent to fermionic quantum cellular automata (fQCA). An index theorem for generalized MPUs is proven, recovering the classification of fQCA in one dimension.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2021)
Article
Multidisciplinary Sciences
Flavia Pennini, Angelo Plastino
Summary: This paper assesses the quantumness of the P, Q, and W quantum optics' approximations in a thermal context. By comparing them with exact and classical treatments, new relations regarding their quantumness are obtained.
Article
Physics, Multidisciplinary
Yue Li, Panpan Fang, Zhe Wang, Panpan Zhang, Yuliang Xu, Xiangmu Kong
Summary: We have studied the quench dynamics and quantum phase transition in the antiferromagnetic Ising model with the Dzyaloshinskii-Moriya interaction. By comparing the behaviors of entanglement under different quench protocols, we found a characteristic time at which the negativity reaches its maximum, which accurately reflects the quantum phase transition in the system. Additionally, we obtained the correlation length exponent by analyzing the nonanalytic and scaling behaviors of the derivative of the characteristic time.
Article
Mechanics
Giuseppe Del Vecchio Del Vecchio, Benjamin Doyon
Summary: According to the hydrodynamic linear response theory, dynamical correlation functions decay as power laws along certain velocities. However, certain observables do not emit sound waves and instead decay exponentially. In the XX quantum chain, we demonstrate how hydrodynamic linear response works and how Euler hydrodynamics can still predict the exponential decay of correlation functions by taking into account large-scale fluctuations of domain walls.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2022)
Article
Chemistry, Physical
Siqin Cao, Yunrui Qiu, Michael L. Kalin, Xuhui Huang
Summary: The generalized master equation (GME) is a powerful method for studying biomolecular dynamics. We present a new method, the Integrative GME (IGME), which analytically solves the GME when the memory kernels have decayed to zero, overcoming the challenges of the quasi Markov State Model (qMSM).
JOURNAL OF CHEMICAL PHYSICS
(2023)
Review
Mathematics
Milos Milovanovic, Nicoletta Saulig
Summary: The paper discusses the relationship between classical and quantum theories in terms of extensional and intensional viewpoints. It aims to demonstrate that classical and quantum probabilities are related through intensionalization and highlights the importance of Brouwer's time continuum in mathematical physics.
Article
Physics, Mathematical
Marco Baldovin, Angelo Vulpiani, Giacomo Gradenigo
Summary: The study provides numerical simulation support for Khinchin's idea that the validity of equilibrium statistical mechanics in high dimensional systems depends on choosing proper observables rather than dynamic details. The research on the one-dimensional Toda chain reveals that systems can quickly reach thermal equilibrium in general cases, aligning with analytical predictions.
JOURNAL OF STATISTICAL PHYSICS
(2021)
Article
Mathematics, Applied
Erik Habbestad, Lucas Hataishi, Sergey Neshveyev
Summary: This paper clarifies the relation between noncommutative Poisson boundaries and Furstenberg-Hamana boundaries of quantum groups, showing that in many cases these boundaries coincide or are quotients of each other. The construction of the Furstenberg-Hamana boundary of D(G) respects monoidal equivalence and can be carried out entirely at the level of the representation category of G, leading to a notion of the Furstenberg-Hamana boundary of a rigid C*-tensor category.
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
(2022)
Article
Mechanics
Jacopo De Nardis, Benjamin Doyon, Marko Medenjak, Milosz Panfil
Summary: This article reviews recent advances in exact results for dynamical correlation functions and related transport coefficients in interacting integrable models at large scales. The discussion includes topics such as Drude weights, conductivity and diffusion constants, as well as linear and nonlinear response in equilibrium and non-equilibrium states. The authors consider the problems from the perspectives of the general hydrodynamic theory of many-body systems and form-factor expansions in integrable models, showing how they provide a comprehensive and consistent set of exact methods for extracting large scale behaviors. Various applications in integrable spin chains and field theories are also discussed.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2022)
Article
Statistics & Probability
Swarnadip Ghosh, Trevor Hastie, Art B. Owen
Summary: This paper presents a computationally efficient algorithm for regression models with crossed random effect errors. The proposed algorithm has lower cost and more flexible conditions compared to other methods, and it is validated through empirical analysis.
ANNALS OF STATISTICS
(2022)
Article
Materials Science, Multidisciplinary
Mario Collura, Pasquale Calabrese, Fabian H. L. Essler
Article
Physics, Multidisciplinary
Marton Kormos, Mario Collura, Gabor Takacs, Pasquale Calabrese
Article
Physics, Particles & Fields
T. Rakovszky, M. Mestyan, M. Collura, M. Kormos, G. Takacs
Article
Physics, Multidisciplinary
Bruno Bertini, Mario Collura, Jacopo De Nardis, Maurizio Fagotti
PHYSICAL REVIEW LETTERS
(2016)
Article
Mechanics
Paolo P. Mazza, Mario Collura, Marton Kormos, Pasquale Calabrese
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2014)
Article
Mechanics
Mario Collura, Gabriele Martelloni
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2014)
Article
Multidisciplinary Sciences
Alberto Biella, Mario Collura, Davide Rossini, Andrea De Luca, Leonardo Mazza
NATURE COMMUNICATIONS
(2019)
Article
Physics, Multidisciplinary
Timo Felser, Pietro Silvi, Mario Collura, Simone Montangero
Article
Physics, Multidisciplinary
Mario Collura, Andrea De Luca, Davide Rossini, Alessio Lerose
Summary: This work investigates the impact of mesonic bound states on discrete time crystals and proposes two possible routes to domain-wall confinement. By constructing domain-wall-conserving effective Hamiltonians and analyzing the dynamics of domain walls, the study explores the effects of confinement on the order-parameter evolution. It is found that the confinement potential is effectively averaged out by the drive, leading to deconfined dynamics, and increasing the range of spin-spin interactions enhances the order-parameter lifetime exponentially.
Article
Materials Science, Multidisciplinary
Alessandro Santini, Giuseppe E. Santoro, Mario Collura
Summary: This study investigates the influence of periodic imperfect global spin flips on the two-dimensional quantum Ising model in the absence of disorder. By employing a combination of exact diagonalization and tensor-network methods, it is demonstrated that the system can sustain a spontaneously broken discrete time-translation symmetry, resulting in a two-dimensional discrete time-crystal (DTC) prethermal phase. The study also reveals that the long-lived stability of the DTC relies on the existence of a long-range ordered phase at finite temperature.
Article
Materials Science, Multidisciplinary
Guglielmo Lami, Giuseppe Carleo, Mario Collura
Summary: By introducing backflow transformation and tensor network Ansatz, this study extends the matrix product state representation of a quantum many-body wave function and provides enough resources to ensure that states in dimensions larger than or equal to one follow the area law for entanglement. The optimization scheme that combines tensor network and variational Monte Carlo algorithms efficiently addresses the ground-state search problem and demonstrates high accuracy and precision in spin models.
Article
Materials Science, Multidisciplinary
Michele Coppola, Emanuele Tirrito, Dragi Karevski, Mario Collura
Summary: The nonequilibrium dynamics of quantum systems under measurement protocols has attracted attention due to its impact on the scaling law of bipartite entanglement entropy. However, it is still unclear how these different nonequilibrium regimes appear and whether they persist in the thermodynamic limit. In this study, a one-dimensional quadratic fermionic model is used to investigate these questions, revealing a qualitative modification of the time growth of the entanglement entropy induced by local projective measurements. Nevertheless, in the thermodynamic limit, the logarithmic behavior of the entanglement entropy in the stationary regime does not survive, and a single area-law phase is identified for any finite value of the measurement rate.
Article
Physics, Multidisciplinary
Riccardo Javier Valencia Tortora, Pasquale Calabrese, Mario Collura
Article
Materials Science, Multidisciplinary
Mario Collura, Andrea De Luca, Pasquale Calabrese, Jerome Dubail
Article
Materials Science, Multidisciplinary
Mario Collura, Fabian H. L. Essler