Non-equilibrium stationary states of quantum non-Hermitian lattice
models
- URL: http://arxiv.org/abs/2103.01941v2
- Date: Wed, 2 Feb 2022 18:50:51 GMT
- Title: Non-equilibrium stationary states of quantum non-Hermitian lattice
models
- Authors: Alexander McDonald, Ryo Hanai, Aashish A. Clerk
- Abstract summary: We show how generic non-Hermitian tight-binding lattice models can be realized in an unconditional, quantum-mechanically consistent manner.
We focus on the quantum steady states of such models for both fermionic and bosonic systems.
- Score: 68.8204255655161
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We show how generic non-Hermitian tight-binding lattice models can be
realized in an unconditional, quantum-mechanically consistent manner by
constructing an appropriate open quantum system. We focus on the quantum steady
states of such models for both fermionic and bosonic systems. Surprisingly, key
features and spatial structures in the steady state cannot be simply understood
from the non-Hermitian Hamiltonian alone. Using the 1D Hatano-Nelson model as a
paradigmatic example, we show that the steady state has a marked sensitivity to
boundary conditions. This dependence however is qualitatively and
quantitatively distinct from the non-Hermitian skin effect, and has no simple
connection to non-Hermitian topology. Further, particle statistics play an
unexpected role: the steady-state density profile is dramatically different for
fermions versus bosons. Our work highlights the key role of fluctuations in
quantum realizations of non-Hermitian dynamics, and provides a starting point
for future work on engineered steady states of open quantum systems.
Related papers
- Stable infinite-temperature eigenstates in SU(2)-symmetric nonintegrable models [0.0]
A class of nonintegrable bond-staggered models is endowed with a large number of zero-energy eigenstates and possesses a non-Abelian internal symmetry.
We show that few-magnon zero-energy states have an exact analytical description, allowing us to build a basis of low-entangled fixed-separation states.
arXiv Detail & Related papers (2024-07-16T17:48:47Z) - Quantifying non-Hermiticity using single- and many-particle quantum properties [14.37149160708975]
The non-Hermitian paradigm of quantum systems displays salient features drastically different from Hermitian counterparts.
We propose a formalism that quantifies the (dis-)similarity of these right and left ensembles, for single- as well as many-particle quantum properties.
Our findings can be instrumental in unveiling new exotic quantum phases of non-Hermitian quantum many-body systems.
arXiv Detail & Related papers (2024-06-19T13:04:47Z) - Signatures of Quantum Phase Transitions in Driven Dissipative Spin Chains [0.0]
We show that a driven-dissipative quantum spin chain exhibits a peculiar sensitivity to the ground-state quantum phase transition.
We develop a versatile analytical approach that becomes exact with vanishing dissipation.
arXiv Detail & Related papers (2024-05-30T22:25:15Z) - Speed limits and thermodynamic uncertainty relations for quantum systems governed by non-Hermitian Hamiltonian [1.6574413179773757]
Non-Hermitian Hamiltonians play a crucial role in the description of open quantum systems and nonequilibrium dynamics.
This paper focuses on the Margolus-Levitin and Mandelstam-Tamm bounds, which are quantum speed limits originally derived in isolated quantum dynamics.
We extend these bounds to the case of non-Hermitian Hamiltonians and derive additional bounds on the ratio of the standard deviation to the mean of an observable.
arXiv Detail & Related papers (2024-04-25T08:00:12Z) - Measurement phase transitions in the no-click limit as quantum phase
transitions of a non-hermitean vacuum [77.34726150561087]
We study phase transitions occurring in the stationary state of the dynamics of integrable many-body non-Hermitian Hamiltonians.
We observe that the entanglement phase transitions occurring in the stationary state have the same nature as that occurring in the vacuum of the non-hermitian Hamiltonian.
arXiv Detail & Related papers (2023-01-18T09:26:02Z) - Non-Abelian braiding of graph vertices in a superconducting processor [144.97755321680464]
Indistinguishability of particles is a fundamental principle of quantum mechanics.
braiding of non-Abelian anyons causes rotations in a space of degenerate wavefunctions.
We experimentally verify the fusion rules of the anyons and braid them to realize their statistics.
arXiv Detail & Related papers (2022-10-19T02:28:44Z) - Continuous phase transition induced by non-Hermiticity in the quantum
contact process model [44.58985907089892]
How the property of quantum many-body system especially the phase transition will be affected by the non-hermiticity remains unclear.
We show that there is a continuous phase transition induced by the non-hermiticity in QCP.
We observe that the order parameter and susceptibility display infinitely even for finite size system, since non-hermiticity endows universality many-body system with different singular behaviour from classical phase transition.
arXiv Detail & Related papers (2022-09-22T01:11:28Z) - Enhanced nonlinear quantum metrology with weakly coupled solitons and
particle losses [58.720142291102135]
We offer an interferometric procedure for phase parameters estimation at the Heisenberg (up to 1/N) and super-Heisenberg scaling levels.
The heart of our setup is the novel soliton Josephson Junction (SJJ) system providing the formation of the quantum probe.
We illustrate that such states are close to the optimal ones even with moderate losses.
arXiv Detail & Related papers (2021-08-07T09:29:23Z) - Quasi-Locality Bounds for Quantum Lattice Systems. Part II.
Perturbations of Frustration-Free Spin Models with Gapped Ground States [0.0]
We study the stability with respect to a broad class of perturbations of gapped ground state phases of quantum spin systems.
Under a condition of Local Topological Quantum Order, the bulk gap is stable under perturbations that decay at long distances faster than a stretched exponential.
arXiv Detail & Related papers (2020-10-29T03:24:19Z) - Entropic Uncertainty Relations and the Quantum-to-Classical transition [77.34726150561087]
We aim to shed some light on the quantum-to-classical transition as seen through the analysis of uncertainty relations.
We employ entropic uncertainty relations to show that it is only by the inclusion of imprecision in our model of macroscopic measurements that we can prepare a system with two simultaneously well-defined quantities.
arXiv Detail & Related papers (2020-03-04T14:01:17Z)
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.