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Electrons in periodic potentials exhibit oscillatory motion in presence of an electric field. Such oscillations are known as Bloch oscillations. In this article we theoretically investigate the emergence of Bloch oscillations for systems…

Mesoscale and Nanoscale Physics · Physics 2017-07-05 Bogdan Stefan Popescu , Alexander Croy

We study coherent dynamics of tight-binding systems interacting with static and oscillating external fields. We consider Bloch oscillations and Wannier-Stark localization caused by dc fields, and compare these effects to dynamic…

Condensed Matter · Physics 2015-06-25 Martin Holthaus , Daniel W. Hone

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 which in several instances turns out to oscillate rather…

Statistical Mechanics · Physics 2022-03-17 Stefano Scopa , Pasquale Calabrese , Alvise Bastianello

We propose a unified scaling theory of entanglement entropy in the confinements of finite bond dimensions, dynamics and system sizes. Within the theory, the finite-entanglement scaling introduced recently is generalized to the dynamics…

Statistical Mechanics · Physics 2018-12-26 Xuanmin Cao , Qijun Hu , Fan Zhong

According to Faraday's law in classical physics, a varying magnetic field stimulates an electric eddy field. Intuitively, when a classical field is constant and imposed on a lattice, the Wannier-Stark ladders (WSL) can be established,…

Strongly Correlated Electrons · Physics 2026-04-15 H. P. Zhang , Z. Song

We study the dynamics of an electron subjected to a static uniform electric field within a one-dimensional tight-binding model with a slowly varying aperiodic potential. The unbiased model is known to support phases of localized and…

Disordered Systems and Neural Networks · Physics 2009-11-10 F. A. B. F. de Moura , M. L. Lyra , F. Dominguez-Adame , V. A. Malyshev

Under a perfect periodic potential, the electric current density induced by a constant electric field may exhibit nontrivial oscillations, so-called Bloch oscillations, with an amplitude that remains nonzero in the large system size limit.…

Strongly Correlated Electrons · Physics 2022-01-04 Yankang Liu , Yohei Fuji , Haruki Watanabe

We numerically study the entanglement dynamics of free fermions on a cubic lattice with potential disorder following a quantum quench. We focus, in particular, on the metal-insulator transition at a critical disorder strength and compare…

Disordered Systems and Neural Networks · Physics 2020-11-20 Y. Zhao , D. Feng , Y. Hu , S. Guo , J. Sirker

We present the model of one-dimensional chain of two-level artificial atoms driven with dc field and quantum light simultaneously in strong coupling regime. The interaction of atoms with light leads to entanglement of electron and photon…

Quantum Physics · Physics 2018-01-30 Ilay Levie , Gregory Slepyan

This article introduces and discusses the concept of entanglement detachment. Under some circumstances, enlarging a few couplings of a Hamiltonian can effectively detach a (possibly disjoint) block within the ground state. This detachment…

Strongly Correlated Electrons · Physics 2018-12-05 Hernán Santos , José Enrique Alvarellos , Javier Rodríguez-Laguna

We present an exact and fully analytical treatment of the entanglement dynamics for an isolated system of $N$ coupled oscillators following a sudden quench of the system parameters. The system is analyzed using the solutions of the time…

Quantum Physics · Physics 2018-02-28 Supriyo Ghosh , Kumar S. Gupta , Shashi C. L. Srivastava

We study the scaling of the entanglement entropy in different classes of one-dimensional fermionic quasiperiodic systems with and without pairing, focusing on multifractal critical points/phases. We find that the entanglement entropy scales…

Strongly Correlated Electrons · Physics 2024-03-12 Miguel Gonçalves

We study the entanglement entropy of blocks of contiguous spins in non-periodic (quasi-periodic or more generally aperiodic) critical Heisenberg, XX and quantum Ising spin chains, e.g. in Fibonacci chains. For marginal and relevant…

Statistical Mechanics · Physics 2009-11-13 F. Igloi , R. Juhasz , Z. Zimboras

The correlated motion of electrons in a one dimensional system with an externally applied longitudinal electric field is discussed. Within the tight binding model we show that in addition to the well known Bloch oscillations the…

Condensed Matter · Physics 2009-11-10 F. Claro , J. F. Weisz , S. Curilef

Motivated by recent experimental findings for an organic superconductor, charge oscillations that emerge after a strong pulse of an oscillating electric field is applied are studied in electron systems in a superconducting phase on a…

Superconductivity · Physics 2018-11-06 Kenji Yonemitsu

Using nonequilibrium dynamical mean-field theory, we study the isolated Hubbard model in a static electric field in the limit of weak interactions. Linear response behavior is established at long times, but only if the interaction exceeds a…

Strongly Correlated Electrons · Physics 2013-05-29 Martin Eckstein , Philipp Werner

We analyze the current dynamics of a superlattice Bloch oscillator under conditions where, in addition to the dc bias field causing a negative differential ac conductivity, a similarly strong ac field is present, at a frequency somewhat…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Herbert Kroemer

We present a time-domain analysis of carrier dynamics in a semiconductor superlattice with two minibands. Integration of the density-matrix equations of motion reveals a number of new features: (i) for certain values of the applied static…

Condensed Matter · Physics 2009-10-22 J. Rotvig , A. P. Jauho , H. Smith

Recently, polarons in the Peyrard-Bishop-Holstein model under DC electric fields were established to perform Bloch oscillations, provided the charge-lattice coupling is not large. In this work, we study this model when the charge is…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 C. Herrero-Gómez , E. Díaz , F. Domínguez-Adame

We consider a chain of free electrons with periodically switched dimerization and study the entanglement entropy of a segment with the remainder of the system. We show that it evolves in a stepwise manner towards a value proportional to the…

Statistical Mechanics · Physics 2009-11-13 Viktor Eisler , Ingo Peschel
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