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We investigate the non-equilibrium dynamics of a one-dimensional spin-1/2 XXZ model at zero-temperature in the regime $|\Delta|< 1$, initially prepared in a product state with two domain walls i.e,…

Statistical Mechanics · Physics 2023-02-21 Stefano Scopa , Pasquale Calabrese , Jérôme Dubail

We study the unitary time evolution of the entanglement Hamiltonian of a free Fermi lattice gas in one dimension initially prepared in a domain wall configuration. To this aim, we exploit the recent development of quantum fluctuating…

Statistical Mechanics · Physics 2022-06-20 Federico Rottoli , Stefano Scopa , Pasquale Calabrese

In spin chains with local unitary evolution preserving the magnetization $S^{\rm z}$, the domain-wall state $\left| \dots \uparrow \uparrow \uparrow \uparrow \uparrow \downarrow \downarrow \downarrow \downarrow \downarrow \dots \right>$…

Statistical Mechanics · Physics 2020-12-08 Mario Collura , Andrea De Luca , Pasquale Calabrese , Jérôme Dubail

We study the spreading of entanglement produced by the time evolution of a local fermionic excitation created above the ground state of the XXZ chain. The resulting entropy profiles are investigated via density-matrix renormalization group…

Statistical Mechanics · Physics 2021-01-13 Matthias Gruber , Viktor Eisler

We consider the out-of-equilibrium dynamics generated by joining two domains with arbitrary opposite magnetisations. We study the stationary state which emerges by the unitary evolution via the spin $1/2$ XXZ Hamiltonian, in the gapless…

Statistical Mechanics · Physics 2018-03-07 Mario Collura , Andrea De Luca , Jacopo Viti

The evolution of a system coupled to baths is commonly described by a master equation that, in the long-time limit, yields a steady-state density matrix. However, when the same evolution is unraveled into quantum trajectories, it is…

Quantum Physics · Physics 2025-12-16 Bo Xing , Giuliano Chiriacò , Paola Cappellaro , Rosario Fazio , Dario Poletti

We establish a general scaling law for the entanglement of a large class of ground states and dynamically evolving states of quantum spin chains: we show that the geometric entropy of a distinguished block saturates, and hence follows an…

Quantum Physics · Physics 2009-11-13 Jens Eisert , Tobias J. Osborne

We study the melting of domain walls in the ferromagnetic phase of the transverse Ising chain, created by flipping the order-parameter spins along one-half of the chain. If the initial state is excited by a local operator in terms of…

Statistical Mechanics · Physics 2017-01-02 Viktor Eisler , Florian Maislinger , Hans Gerd Evertz

A two-dimensional lattice system of non-interacting electrons in a homogeneous magnetic field with half a flux quantum per plaquette and a random potential is considered. For the large scale behavior a supersymmetric theory with collective…

Mesoscale and Nanoscale Physics · Physics 2009-10-28 K. Ziegler

We study the critical behavior and the ground-state entanglement of a large class of $\mathrm{su}(1|1)$ supersymmetric spin chains with a general (not necessarily monotonic) dispersion relation. We show that this class includes several…

We consider the XXZ spin chain with a magnetic field gradient and study the profiles of the magnetization as well as the entanglement entropy. For a slowly varying field it is shown that, by means of a local density approximation, the…

Statistical Mechanics · Physics 2017-11-07 Viktor Eisler , Daniel Bauernfeind

We study the melting of a domain wall in a free-fermionic chain with a localised impurity. We find that the defect enhances quantum correlations in such a way that even the smallest scatterer leads to a linear growth of the entanglement…

Statistical Mechanics · Physics 2023-02-06 Luca Capizzi , Stefano Scopa , Federico Rottoli , Pasquale Calabrese

We study the melting of a domain wall in free-fermion chains, where the periodic variation of the hopping amplitudes gives rise to a band structure. It is shown that the entanglement grows logarithmically in time, and the prefactor is…

Statistical Mechanics · Physics 2025-10-15 Viktor Eisler

We study the melting of a domain wall, prepared as a certain low-energy excitation above the ferromagnetic ground state of the XY chain. In a well defined parameter regime the time-evolved magnetization profile develops sharp kink-like…

Statistical Mechanics · Physics 2019-05-27 Viktor Eisler , Florian Maislinger

We have used kinetic Monte Carlo (kMC) simulations of a lattice gas to study front fluctuations in the spreading of a non-volatile liquid droplet onto a solid substrate. Our results are consistent with a diffusive growth law for the radius…

Statistical Mechanics · Physics 2023-11-30 J. M. Marcos , P. Rodríguez-López , J. J. Melendez , R. Cuerno , J. J. Ruiz-Lorenzo

The dynamics of the transverse magnetization in the zero-temperature XX chain is studied with emphasis on fronts emerging from steplike initial magnetization profiles. The fronts move with fixed velocity and display a staircase like…

Statistical Mechanics · Physics 2009-11-10 V. Hunyadi , Z. Racz , L. Sasvari

An important and incompletely answered question is whether a closed quantum system of many interacting particles can be localized by disorder. The time evolution of simple (unentangled) initial states is studied numerically for a system of…

Strongly Correlated Electrons · Physics 2012-07-11 Jens H. Bardarson , Frank Pollmann , Joel E. Moore

Entanglement entropy under a particle bipartition provides complementary information to mode entanglement as it is sensitive to interactions and particle statistics at leading order and does not depend on any externally imposed length…

We study the critical behavior of the nonequilibrium dynamics and of the steady states emerging from the competition between coherent and dissipative dynamics close to quantum phase transitions. The latter is induced by the coupling of the…

Statistical Mechanics · Physics 2019-11-26 Davide Rossini , Ettore Vicari

There exist zero-temperature states in quantum many-body systems that are fully factorized, thereby possessing vanishing entanglement, and hence being of no use as resource in quantum information processing tasks. Such states can become…

Quantum Physics · Physics 2018-06-11 Titas Chanda , Tamoghna Das , Debasis Sadhukhan , Amit Kumar Pal , Aditi Sen De , Ujjwal Sen
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