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20142026
most citedMatrix Product States and Projected Entangled Pair States: Concepts, Symmetries, and Theorems

831 citations

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59 papers · 1 filter

cond-mat.stat-mech2025

Persistence of the Berezinskii-Kosterlitz-Thouless transition with long-range couplings

Luis Walther, Josef Willsher, Johannes Knolle

The Berezinskii-Kosterlitz-Thouless (BKT) transition is an archetypal example of a topological phase transition, which is driven by the proliferation of vortices. In this Letter, w…

cond-mat.stat-mech2025★ 4 cited

Krylov Complexity Meets Confinement

Xuhao Jiang, Jad C. Halimeh, N. S. Srivatsa

In high-energy physics, confinement denotes the tendency of fundamental particles to remain bound together, preventing their observation as free, isolated entities. Interestingly,…

cond-mat.stat-mech2025★ 1 cited

Learning the non-Markovian features of subsystem dynamics

Michele Coppola, Mari Carmen Bañuls, Zala Lenarčič

The dynamics of local observables in a quantum many-body system can be formally described in the language of open systems. The problem is that the bath representing the complement…

cond-mat.stat-mech2024★ 1 cited

Entanglement dynamics from universal low-lying modes

Shreya Vardhan, Sanjay Moudgalya

Information-theoretic quantities such as Renyi entropies show a remarkable universality in their late-time behaviour across a variety of chaotic many-body systems. Understanding ho…

cond-mat.stat-mech2024★ 3 cited

Percolation renormalization group analysis of confinement in lattice gauge theories

Gesa Dünnweber, Simon M. Linsel, Annabelle Bohrdt +1

The analytical study of confinement in lattice gauge theories (LGTs) remains a difficult task to this day. Taking a geometric perspective on confinement, we develop a real-space re…

cond-mat.stat-mech2024★ 8 cited

Landau-Lifschitz magnets: exact thermodynamics and transport

Alvise Bastianello, Žiga Krajnik, Enej Ilievski

The classical Landau--Lifshitz equation -- the simplest model of a ferromagnet -- provides an archetypal example for studying transport phenomena. In one-spatial dimension, integra…

cond-mat.stat-mech2024★ 8 cited

Dynamical heterogeneity and large deviations in the open quantum East glass model from tensor networks

Luke Causer, Mari Carmen Bañuls, Juan P. Garrahan

We study the non-equilibrium dynamics of the dissipative quantum East model via numerical tensor networks. We use matrix product states to represent evolution under quantum-jump un…

cond-mat.stat-mech2024★ 7 cited

Non-thermal eigenstates and slow relaxation in quantum Fredkin spin chains

Luke Causer, Mari Carmen Bañuls, Juan P. Garrahan

We study the dynamics and thermalization of the Fredkin spin chain, a system with local three-body interactions, particle conservation and explicit kinetic constraints. We consider…

cond-mat.stat-mech2023★ 5 cited

A Unified Interface Model for Dissipative Transport of Bosons and Fermions

Y. Minoguchi, J. Huber, L. Garbe +2

We study the directed transport of bosons along a one dimensional lattice in a dissipative setting, where the hopping is only facilitated by coupling to a Markovian reservoir. By c…

cond-mat.stat-mech2023★ 23 cited

The sine-Gordon model from coupled condensates: a Generalized Hydrodynamics viewpoint

Alvise Bastianello

The sine-Gordon model captures the low-energy effective dynamics of a wealth of one-dimensional quantum systems, stimulating the experimental efforts in building a versatile quantu…

cond-mat.stat-mech2023★ 15 cited

Symmetries as Ground States of Local Superoperators: Hydrodynamic Implications

Sanjay Moudgalya, Olexei I. Motrunich

Symmetry algebras of quantum many-body systems with locality can be understood using commutant algebras, which are defined as algebras of operators that commute with a given set of…

cond-mat.stat-mech2023★ 16 cited

Exact large-scale fluctuations of the phase field in the sine-Gordon model

Giuseppe Del Vecchio Del Vecchio, Márton Kormos, Benjamin Doyon +1

We present the first exact theory and analytical formulas for the large-scale phase fluctuations in the sine-Gordon model, valid in all regimes of the field theory, for arbitrary t…

cond-mat.stat-mech2023★ 30 cited

Exact Thermodynamics and Transport in the Classical Sine-Gordon Model

Rebekka Koch, Alvise Bastianello

We revisit the exact thermodynamic description of the classical sine-Gordon field theory, a notorious integrable model. We found that existing results in the literature based on th…

cond-mat.stat-mech2022★ 1 cited

Symmetries and field tensor network states

Albert Gasull, Antoine Tilloy, J. Ignacio Cirac +1

We study the interplay between symmetry representations of the physical and virtual space on the class of tensor network states for critical spins systems known as field tensor net…

cond-mat.stat-mech2022★ 23 cited

Optimal sampling of dynamical large deviations in two dimensions via tensor networks

Luke Causer, Mari Carmen Bañuls, Juan P. Garrahan

We use projected entangled-pair states (PEPS) to calculate the large deviations (LD) statistics of the dynamical activity of the two dimensional East model, and the two dimensional…

cond-mat.stat-mech2022★ 24 cited

Circuits of space and time quantum channels

Pavel Kos, Georgios Styliaris

Exact solutions in interacting many-body systems are scarce but extremely valuable since they provide insights into the dynamics. Dual-unitary models are examples in one spatial di…

cond-mat.stat-mech2022★ 3 cited

Trajectory phase transitions in non-interacting systems: all-to-all dynamics and the random energy model

Juan P. Garrahan, Chokri Manai, Simone Warzel

We study the fluctuations of time-additive random observables in the stochastic dynamics of a system of non-interacting Ising spins. We mainly consider the case of all-to-all d…

cond-mat.stat-mech2022★ 20 cited

Bridging the gap between classical and quantum many-body information dynamics

Andrea Pizzi, Daniel Malz, Andreas Nunnenkamp +1

The fundamental question of how information spreads in closed quantum many-body systems is often addressed through the lens of the bipartite entanglement entropy, a quantity that d…

cond-mat.stat-mech2022★ 13 cited

Prethermal nematic order and staircase heating in a driven frustrated Ising magnet with dipolar interactions

Hui-Ke Jin, Andrea Pizzi, Johannes Knolle

Many-body systems subject to a high-frequency drive can show intriguing thermalization behavior. Prior to heating to a featureless infinite-temperature state, these systems can spe…

cond-mat.stat-mech2022★ 32 cited

Measurement-induced phase transition in a classical, chaotic many-body system

Josef Willsher, Shu-Wei Liu, Roderich Moessner +1

Local measurements in quantum systems are projective operations which act to counteract the spread of quantum entanglement. Recent work has shown that local, random measurements ap…

cond-mat.stat-mech2022★ 54 cited

Prethermalization in one-dimensional quantum many-body systems with confinement

Stefan Birnkammer, Alvise Bastianello, Michael Knap

Unconventional nonequilibrium phases with restricted correlation spreading and slow entanglement growth have been proposed to emerge in systems with confined excitations, calling t…

cond-mat.stat-mech2021★ 74 cited

Temporal entanglement, quasiparticles and the role of interactions

Giacomo Giudice, Giuliano Giudici, Michael Sonner +4

In quantum many-body dynamics admitting a description in terms of non-interacting quasiparticles, the Feynman-Vernon influence matrix (IM), encoding the effect of the system on the…

cond-mat.stat-mech2021★ 34 cited

Entanglement dynamics in confining spin chains

Stefano Scopa, Pasquale Calabrese, Alvise Bastianello

The confinement of elementary excitations induces distinctive features in the non-equilibrium quench dynamics. One of the most remarkable is the suppression of entanglement entropy…

cond-mat.stat-mech2021★ 34 cited

Generalized Hydrodynamics of the attractive Non-Linear Schroedinger Equation

Rebekka Koch, Jean-Sébastien Caux, Alvise Bastianello

We study the generalized hydrodynamics of the one-dimensional classical Non Linear Schroedinger equation in the attractive phase. We thereby show that the thermodynamic limit is en…