Fate of symmetry protected coherence in open quantum system
- URL: http://arxiv.org/abs/2102.10524v1
- Date: Sun, 21 Feb 2021 06:24:28 GMT
- Title: Fate of symmetry protected coherence in open quantum system
- Authors: Tian-Shu Deng and Lei Pan
- Abstract summary: We find that a pure state in the symmetry protected subspace will decohere even though both the system Hamiltonian and system-environment interaction respect the same anti-unitary symmetry.
Our results could help to explore the possible experimental realization of stable time-reversal symmetric states.
- Score: 0.7132368785057315
- License: http://creativecommons.org/publicdomain/zero/1.0/
- Abstract: We investigate the fate of coherence in the dynamical evolution of a symmetry
protected quantum system. Under the formalism of system-plus-bath for open
quantum system, the anti-unitary symmetry exhibits significant difference from
the unitary one in protecting initial coherence. Specifically, taking advantage
of Lindblad master equation, we find that a pure state in the symmetry
protected degenerate subspace will decohere even though both the system
Hamiltonian and system-environment interaction respect the same anti-unitary
symmetry. In contrast, the coherence will persist when the protecting symmetry
is unitary. We provide an elaborate classification table to illustrate what
kinds of symmetry combinations are able to preserve the coherence of initial
state, which is confirmed by several concrete models in spin-$3/2$ system. Our
results could help to explore the possible experimental realization of stable
time-reversal symmetric topological states.
Related papers
- Spontaneous symmetry breaking in open quantum systems: strong, weak, and strong-to-weak [4.41737598556146]
We show that strong symmetry always spontaneously breaks into the corresponding weak symmetry.
We conjecture that this relation among strong-to-weak symmetry breaking, gapless modes, and symmetry-charge diffusion is general for continuous symmetries.
arXiv Detail & Related papers (2024-06-27T17:55:36Z) - Multiple crossing during dynamical symmetry restoration and implications for the quantum Mpemba effect [0.0]
We show how, by tuning the initial state, the symmetry dynamics in free fermionic systems can display much richer behaviour than seen previously.
In particular, for certain classes of initial states, including ground states of free fermionic models with long-range couplings, the entanglement asymmetry can exhibit multiple crossings.
arXiv Detail & Related papers (2024-05-07T15:57:45Z) - Three perspectives on entropy dynamics in a non-Hermitian two-state system [41.94295877935867]
entropy dynamics as an indicator of physical behavior in an open two-state system with balanced gain and loss is presented.
We distinguish the perspective taken in utilizing the conventional framework of Hermitian-adjoint states from an approach that is based on biorthogonal-adjoint states and a third case based on an isospectral mapping.
arXiv Detail & Related papers (2024-04-04T14:45:28Z) - Entanglement asymmetry and quantum Mpemba effect in two-dimensional
free-fermion systems [0.0]
The quantum Mpemba effect is the counter-intuitive non-equilibrium phenomenon wherein the dynamic restoration of a broken symmetry occurs more rapidly when the initial state exhibits a higher degree of symmetry breaking.
Here we focus on a two-dimensional free-fermion lattice employing the entanglement asymmetry as a measure of symmetry breaking.
We find that the quantum Mpemba effect is strongly affected by the size of the system in the transverse dimension, with the potential to either enhance or spoil the phenomenon depending on the initial states.
arXiv Detail & Related papers (2024-03-07T13:38:40Z) - Efficient quantum algorithms for testing symmetries of open quantum
systems [17.55887357254701]
In quantum mechanics, it is possible to eliminate degrees of freedom by leveraging symmetry to identify the possible physical transitions.
Previous works have focused on devising quantum algorithms to ascertain symmetries by means of fidelity-based symmetry measures.
We develop alternative symmetry testing quantum algorithms that are efficiently implementable on quantum computers.
arXiv Detail & Related papers (2023-09-05T18:05:26Z) - Duality viewpoint of criticality [10.697358928025304]
We study quantum many-body systems which are self-dual under duality transformation connecting different symmetry protected topological phases.
We provide a geometric explanation of the criticality of these self-dual models.
We illustrate our results with several examples in one and two dimensions, which separate two different SPTs.
arXiv Detail & Related papers (2022-09-27T15:13:27Z) - Quantum Mechanics as a Theory of Incompatible Symmetries [77.34726150561087]
We show how classical probability theory can be extended to include any system with incompatible variables.
We show that any probabilistic system (classical or quantal) that possesses incompatible variables will show not only uncertainty, but also interference in its probability patterns.
arXiv Detail & Related papers (2022-05-31T16:04:59Z) - Deformed Symmetry Structures and Quantum Many-body Scar Subspaces [12.416248333306237]
A quantum many-body scar system usually contains a special non-thermal subspace decoupled from the rest of the Hilbert space.
We propose a general structure called deformed symmetric spaces for the decoupled subspaces hosting quantum many-body scars.
arXiv Detail & Related papers (2021-08-17T18:00:02Z) - Information retrieval and eigenstates coalescence in a non-Hermitian
quantum system with anti-$\mathcal{PT}$ symmetry [15.273168396747495]
Non-Hermitian systems with parity-time reversal ($mathcalPT$) or anti-$mathcalPT$ symmetry have attracted a wide range of interest owing to their unique characteristics and counterintuitive phenomena.
We implement a Floquet Hamiltonian of a single qubit with anti-$mathcalPT$ symmetry by periodically driving a dissipative quantum system of a single trapped ion.
arXiv Detail & Related papers (2021-07-27T07:11:32Z) - Symmetric Finite-Time Preparation of Cluster States via Quantum Pumps [0.0]
We show that it is possible to prepare cluster-like states in finite time without breaking the symmetry protecting the resource state.
We show that even if unwanted symmetric perturbations are present in the driving Hamiltonian, projective measurements in the bulk along with feedforward correction is sufficient to recover a cluster-like state.
arXiv Detail & Related papers (2021-07-08T17:56:19Z) - Dynamical signatures of symmetry protected topology following symmetry
breaking [0.0]
We investigate topological signatures in the short-time non-equilibrium dynamics of symmetry protected topological (SPT) systems.
We show numerically that both the pure state and ensemble signatures are remarkably robust.
arXiv Detail & Related papers (2021-01-29T04:55:28Z)
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.