Exploring Topological Boundary Effects through Quantum Trajectories in Dissipative SSH Models
- URL: http://arxiv.org/abs/2411.05671v2
- Date: Fri, 15 Nov 2024 08:51:42 GMT
- Title: Exploring Topological Boundary Effects through Quantum Trajectories in Dissipative SSH Models
- Authors: Giulia Salatino, Gianluca Passarelli, Angelo Russomanno, Giuseppe E. Santoro, Procolo Lucignano, Rosario Fazio,
- Abstract summary: We investigate the topological properties of the Su-Schrieffer-Heeger (SSH) model under dissipative dynamics using the quantum trajectory approach.
Our study explores the preservation or breakdown of topological edge states, particularly focusing on the effects of symmetry-preserving and symmetry-breaking dissipations.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We investigate the topological properties of the Su-Schrieffer-Heeger (SSH) model under dissipative dynamics using the quantum trajectory approach. Our study explores the preservation or breakdown of topological edge states, particularly focusing on the effects of symmetry-preserving and symmetry-breaking dissipations. We employ the Disconnected Entanglement Entropy (DEE) as a marker for detecting topological phases in the system, which is subjected to Lindblad dynamics. The analysis reveals that, while dissipation in the bulk minimally affects the system's topological features, dissipation at the boundary leads to the destabilization of the edge modes, independently of the symmetry properties of the dissipation.
Related papers
- Generative System Dynamics in Recurrent Neural Networks [56.958984970518564]
We investigate the continuous time dynamics of Recurrent Neural Networks (RNNs)
We show that skew-symmetric weight matrices are fundamental to enable stable limit cycles in both linear and nonlinear configurations.
Numerical simulations showcase how nonlinear activation functions not only maintain limit cycles, but also enhance the numerical stability of the system integration process.
arXiv Detail & Related papers (2025-04-16T10:39:43Z) - Observable-manifested correlations in many-body quantum chaotic systems [5.009081786741903]
We find that for realistic systems, the envelope function of off-diagonal elements of observables exhibits an exponential decay at large $Delta E$, while for randomized models, it tends to be flat.
We demonstrate that the correlations of chaotic eigenstates, originating from the delicate structures of Hamiltonians, play a crucial role in the non-trivial structure of the envelope function.
arXiv Detail & Related papers (2025-02-24T06:33:22Z) - Universal Entanglement Revival of Topological Origin [0.0]
We analyze the dynamics of entanglement in dissipative fermionic and bosonic Su-Schrieffer-Heeger (SSH) models.
When the decoherence channel preserves the chiral symmetry, they exhibit a revival of entanglement in a wide range of parameters.
arXiv Detail & Related papers (2024-10-23T05:10:33Z) - Topological zero modes and edge symmetries of metastable Markovian
bosonic systems [0.0]
We study tight bosonic analogs of the Majorana and Dirac edge modes characteristic of topological superconductors and insulators.
We show the possibility of anomalous parity dynamics for a bosonic cat state prepared in a topologically metastable system.
Our results point to a new paradigm of genuine symmetry-protected topological physics in free bosons.
arXiv Detail & Related papers (2023-06-23T18:00:03Z) - Rigorous analysis of the topologically protected edge states in the
quantum spin Hall phase of the armchair ribbon geometry [1.2999413717930817]
We present a novel analytical approach for obtaining explicit expressions for the edge states in the Kane-Mele model.
We determine various analytical properties of the edge states, including their wave functions and energy dispersion.
Our findings shed light on the unique characteristics of the edge states in the quantum spin Hall phase of the Kane-Mele model.
arXiv Detail & Related papers (2023-06-06T14:00:25Z) - Statistical Mechanics of Monitored Dissipative Random Circuits [4.0822320577783335]
We study the effects of dissipation on a class of monitored random circuits.
We find that the joint action of monitored measurements and dissipation regimes yields short time, intermediate time and steady state behavior.
arXiv Detail & Related papers (2023-03-14T18:00:18Z) - Geometric path augmentation for inference of sparsely observed
stochastic nonlinear systems [0.0]
We introduce a new data-driven path augmentation scheme that takes the local observation geometry into account.
We can efficiently identify the deterministic driving forces of the underlying system for systems observed at low sampling rates.
arXiv Detail & Related papers (2023-01-19T14:45:03Z) - Edge states, Majorana fermions and topological order in superconducting
wires with generalized boundary conditions [0.0]
We study the properties of one-dimensional topological superconductors under the influence of generic boundary conditions.
In particular, we investigate the resilience of the long-distance, edge-to-edge quantum mutual information and squashed entanglement.
arXiv Detail & Related papers (2022-07-04T14:05:03Z) - Subradiant edge states in an atom chain with waveguide-mediated hopping [0.0]
We analyze a system formed by two chains of identical emitters coupled to a waveguide, whose guided modes induce excitation hopping.
We find that, in the single excitation limit, the bulk topological properties of the Hamiltonian that describes the coherent dynamics of the system are identical to the ones of a one-dimensional Su-Schrieffer-Heeger model.
We analytically identify parameter regimes where edge states arise which are fully localized to the boundaries of the chain, independently of the system size.
arXiv Detail & Related papers (2022-05-27T09:35:49Z) - Noise-resilient Edge Modes on a Chain of Superconducting Qubits [103.93329374521808]
Inherent symmetry of a quantum system may protect its otherwise fragile states.
We implement the one-dimensional kicked Ising model which exhibits non-local Majorana edge modes (MEMs) with $mathbbZ$ parity symmetry.
MEMs are found to be resilient against certain symmetry-breaking noise owing to a prethermalization mechanism.
arXiv Detail & Related papers (2022-04-24T22:34:15Z) - Locality of Spontaneous Symmetry Breaking and Universal Spacing
Distribution of Topological Defects Formed Across a Phase Transition [62.997667081978825]
A continuous phase transition results in the formation of topological defects with a density predicted by the Kibble-Zurek mechanism (KZM)
We characterize the spatial distribution of point-like topological defects in the resulting nonequilibrium state and model it using a Poisson point process in arbitrary spatial dimension with KZM density.
arXiv Detail & Related papers (2022-02-23T19:00:06Z) - 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) - Steady-state susceptibility in continuous phase transitions of
dissipative systems [3.0429703764855343]
We find that the susceptibilities of fidelity and trace distance exhabit singular behaviors near the critical points of phase transitions in both models.
The critical points, in thermodynamic limit, extracted from the scalings of the critical controlling parameters to the system size or nonlinearity agree well with the existed results.
arXiv Detail & Related papers (2022-01-12T11:56:52Z) - Exact solutions of interacting dissipative systems via weak symmetries [77.34726150561087]
We analytically diagonalize the Liouvillian of a class Markovian dissipative systems with arbitrary strong interactions or nonlinearity.
This enables an exact description of the full dynamics and dissipative spectrum.
Our method is applicable to a variety of other systems, and could provide a powerful new tool for the study of complex driven-dissipative quantum systems.
arXiv Detail & Related papers (2021-09-27T17:45:42Z) - Topology of anti-parity-time-symmetric non-Hermitian
Su-Schrieffer-Heeger model [0.0]
We show that the large non-Hermiticity constructively creates nontrivial topology and greatly expands the topological phase.
Our findings can be verified through introducing dissipations in every another two sites of the standard SSH model even in its trivial phase.
arXiv Detail & Related papers (2021-05-08T11:17:08Z) - Self-consistent theory of mobility edges in quasiperiodic chains [62.997667081978825]
We introduce a self-consistent theory of mobility edges in nearest-neighbour tight-binding chains with quasiperiodic potentials.
mobility edges are generic in quasiperiodic systems which lack the energy-independent self-duality of the commonly studied Aubry-Andr'e-Harper model.
arXiv Detail & Related papers (2020-12-02T19:00:09Z) - Stochastically forced ensemble dynamic mode decomposition for
forecasting and analysis of near-periodic systems [65.44033635330604]
We introduce a novel load forecasting method in which observed dynamics are modeled as a forced linear system.
We show that its use of intrinsic linear dynamics offers a number of desirable properties in terms of interpretability and parsimony.
Results are presented for a test case using load data from an electrical grid.
arXiv Detail & Related papers (2020-10-08T20:25:52Z) - Feedback-induced instabilities and dynamics in the Jaynes-Cummings model [62.997667081978825]
We investigate the coherence and steady-state properties of the Jaynes-Cummings model subjected to time-delayed coherent feedback.
The introduced feedback qualitatively modifies the dynamical response and steady-state quantum properties of the system.
arXiv Detail & Related papers (2020-06-20T10:07:01Z) - Dynamical solitons and boson fractionalization in cold-atom topological
insulators [110.83289076967895]
We study the $mathbbZ$ Bose-Hubbard model at incommensurate densities.
We show how defects in the $mathbbZ$ field can appear in the ground state, connecting different sectors.
Using a pumping argument, we show that it survives also for finite interactions.
arXiv Detail & Related papers (2020-03-24T17:31:34Z) - Semiparametric Bayesian Forecasting of Spatial Earthquake Occurrences [77.68028443709338]
We propose a fully Bayesian formulation of the Epidemic Type Aftershock Sequence (ETAS) model.
The occurrence of the mainshock earthquakes in a geographical region is assumed to follow an inhomogeneous spatial point process.
arXiv Detail & Related papers (2020-02-05T10:11:26Z)
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.