Quantum critical systems with dissipative boundaries
- URL: http://arxiv.org/abs/2106.02539v2
- Date: Sat, 28 Aug 2021 06:32:01 GMT
- Title: Quantum critical systems with dissipative boundaries
- Authors: Francesco Tarantelli, Ettore Vicari
- Abstract summary: We study the effects of dissipative boundaries in many-body systems at continuous quantum transitions.
As paradigmatic models, we consider fermionic wires subject to dissipative interactions at the boundaries.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: We study the effects of dissipative boundaries in many-body systems at
continuous quantum transitions, when the parameters of the Hamiltonian driving
the unitary dynamics are close to their critical values. As paradigmatic
models, we consider fermionic wires subject to dissipative interactions at the
boundaries, associated with pumping or loss of particles. They are induced by
couplings with a Markovian baths, so that the evolution of the system density
matrix can be described by a Lindblad master equation. We study the quantum
evolution arising from variations of the Hamiltonian and dissipation
parameters, starting at t=0 from the ground state of the critical Hamiltonian.
Two different dynamic regimes emerge: (i) an early-time regime for times t ~ L,
where the competition between coherent and incoherent drivings develops a
dynamic finite-size scaling, obtained by extending the scaling framework
describing the coherent critical dynamics of the closed system, to allow for
the boundary dissipation; (ii) a large-time regime for t ~ L^3 whose dynamic
scaling describes the late quantum evolution leading to the t->infty stationary
states.
Related papers
- Liouvillian Dynamics of the Open Schwinger Model: String Breaking and Kinetic Dissipation in a Thermal Medium [0.0]
We consider the string-breaking dynamics within the Schwinger model and investigate its modification inside a thermal medium.
We analyze the Liouvillian gaps of a Lindblad equation and the time dependence of the system's von Neumann entropy.
We discuss how the Liouvillian dynamics of the open Schwinger model can be simulated on quantum computers.
arXiv Detail & Related papers (2023-08-07T19:15:55Z) - Universality of critical dynamics with finite entanglement [68.8204255655161]
We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement.
Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
arXiv Detail & Related papers (2023-01-23T19:23:54Z) - Slow semiclassical dynamics of a two-dimensional Hubbard model in
disorder-free potentials [77.34726150561087]
We show that introduction of harmonic and spin-dependent linear potentials sufficiently validates fTWA for longer times.
In particular, we focus on a finite two-dimensional system and show that at intermediate linear potential strength, the addition of a harmonic potential and spin dependence of the tilt, results in subdiffusive dynamics.
arXiv Detail & Related papers (2022-10-03T16:51:25Z) - Interface dynamics in the two-dimensional quantum Ising model [0.0]
We show that the dynamics of interfaces, in the symmetry-broken phase of the two-dimensional ferromagnetic quantum Ising model, displays a robust form of ergodicity breaking.
We present a detailed analysis of the evolution of these interfaces both on the lattice and in a suitable continuum limit.
The implications of our work for the classic problem of the decay of a false vacuum are also discussed.
arXiv Detail & Related papers (2022-09-19T13:08:58Z) - On optimization of coherent and incoherent controls for two-level
quantum systems [77.34726150561087]
This article considers some control problems for closed and open two-level quantum systems.
The closed system's dynamics is governed by the Schr"odinger equation with coherent control.
The open system's dynamics is governed by the Gorini-Kossakowski-Sudarshan-Lindblad master equation.
arXiv Detail & Related papers (2022-05-05T09:08:03Z) - Signatures of a quantum stabilized fluctuating phase and critical
dynamics in a kinetically-constrained open many-body system with two
absorbing states [0.0]
We introduce and investigate an open many-body quantum system in which kinetically coherent and dissipative processes compete.
Our work shows how the interplay between coherent and dissipative processes as well as constraints may lead to a highly intricate non-equilibrium evolution.
arXiv Detail & Related papers (2022-04-22T07:51:38Z) - Decimation technique for open quantum systems: a case study with
driven-dissipative bosonic chains [62.997667081978825]
Unavoidable coupling of quantum systems to external degrees of freedom leads to dissipative (non-unitary) dynamics.
We introduce a method to deal with these systems based on the calculation of (dissipative) lattice Green's function.
We illustrate the power of this method with several examples of driven-dissipative bosonic chains of increasing complexity.
arXiv Detail & Related papers (2022-02-15T19:00:09Z) - Engineering Dissipative Quasicrystals [7.182858821473896]
We discuss the systematic engineering of quasicrystals in open quantum systems where quasiperiodicity is introduced through purely dissipative processes.
Our work suggests a systematic route toward engineering exotic quantum dynamics in open systems, based on insights of non-Hermitian physics.
arXiv Detail & Related papers (2021-11-29T10:35:34Z) - Dissipative dynamics at first-order quantum transitions [0.0]
This issue is studied within the paradigmatic one-dimensional quantum Ising model.
We analyze the out-of-equilibrium dynamics arising from quenches of the Hamiltonian parameters.
We observe a regime where the system develops a nontrivial dynamic scaling behavior.
arXiv Detail & Related papers (2020-09-23T14:08:21Z) - Unraveling the topology of dissipative quantum systems [58.720142291102135]
We discuss topology in dissipative quantum systems from the perspective of quantum trajectories.
We show for a broad family of translation-invariant collapse models that the set of dark state-inducing Hamiltonians imposes a nontrivial topological structure on the space of Hamiltonians.
arXiv Detail & Related papers (2020-07-12T11:26:02Z) - Memory-Critical Dynamical Buildup of Phonon-Dressed Majorana Fermions [72.46695228124449]
We study a one-dimensional polaronic topological superconductor with phonon-dressed $p$-wave pairing.
We show that when the memory depth increases, the Majorana edge dynamics transits from relaxing monotonically to a plateau of substantial value into a collapse-and-buildup behavior.
arXiv Detail & Related papers (2020-06-24T07:32:51Z)
This list is automatically generated from the titles and abstracts of the papers in this site.
This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.