Quench-Probe Setup as Analyzer of Fractionalized Entanglement Spreading
- URL: http://arxiv.org/abs/2207.04833v3
- Date: Wed, 10 May 2023 12:46:18 GMT
- Title: Quench-Probe Setup as Analyzer of Fractionalized Entanglement Spreading
- Authors: Nicolas P. Bauer, Jan Carl Budich, Bj\"orn Trauzettel, Alessio Calzona
- Abstract summary: We show that excitations emitted from the topological part of the system give rise to a fractionalized jump of $log(2)/2$ in the entanglement entropy of the probe.
This dynamical effect is highly sensitive to the localized nature of the Majorana zero mode, but does not require the preparation of a topological initial state.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: We propose a novel spatially inhomogeneous setup for revealing quench-induced
fractionalized excitations in entanglement dynamics. In this quench-probe
setting, the region undergoing a quantum quench is tunnel-coupled to a static
region, the probe.Subsequently, the time-dependent entanglement signatures of a
tunable subset of excitations propagating to the probe are monitored by energy
selectivity. We exemplify the power of this generic approach by identifying a
unique dynamical signature associated with the presence of an isolated Majorana
zero mode in the post-quench Hamiltonian. In this case excitations emitted from
the topological part of the system give rise to a fractionalized jump of
$\log(2)/2$ in the entanglement entropy of the probe. This dynamical effect is
highly sensitive to the localized nature of the Majorana zero mode, but does
not require the preparation of a topological initial state.
Related papers
- Symmetry-protected topology and deconfined solitons in a multi-link $\mathbb{Z}_2$ gauge theory [45.88028371034407]
We study a $mathbbZ$ lattice gauge theory defined on a multi-graph with links that can be visualized as great circles of a spherical shell.<n>We show that this leads to state-dependent tunneling amplitudes underlying a phenomenon analogous to the Peierls instability.<n>By performining a detailed analysis based on matrix product states, we prove that charge deconfinement emerges as a consequence of charge-fractionalization.
arXiv Detail & Related papers (2026-03-02T22:59:25Z) - Topological sensing of superfluid rotation using non-Hermitian optical dimers [3.7723788828505125]
We study a non-Hermitian optical dimer whose parameters are renormalized by dispersive and dissipative backaction.<n>We propose a digital exceptional-point-based sensing scheme based on eigenmode permutation.
arXiv Detail & Related papers (2026-01-08T09:14:31Z) - Single particle dynamical signature of topology induced by single mode cavities in Su-Schrieffer-Heeger chain [0.0]
We study the dynamics of a single particle in a one-dimensional Su-Schrieffer-Heeger chain coupled to multiple cavity modes.<n>We show that, whenever the frequency is larger than the static hopping amplitudes, the coupling induces a discontinuous jump in the MCD.<n>For frequencies comparable to the static hopping amplitudes, topological order competes with dissipative effects, which makes the MCD behave smoothly.
arXiv Detail & Related papers (2025-12-10T10:47:46Z) - Measuring Non-Hermitian Topological Invariants Directly from Quench Dynamics [6.33906375869588]
Non-Hermitian (NH) topological phases and phenomena have been observed across various quantum systems.
We present a generic and unified framework for the direct measurement of various NH topological invariants in odd-dimensional systems.
This work paves the way for the direct measurement of NH topological invariants in quantum systems.
arXiv Detail & Related papers (2024-10-17T05:48:45Z) - Theory of free fermions dynamics under partial post-selected monitoring [49.1574468325115]
We derive a partial post-selected Schrdinger"o equation based on a microscopic description of continuous weak measurement.
We show that the passage to the monitored universality occurs abruptly at finite partial post-selection.
Our approach establishes a way to study MiPTs for arbitrary subsets of quantum trajectories.
arXiv Detail & Related papers (2023-12-21T16:53:42Z) - Long-range entanglement and topological excitations [0.0]
Topological order comes in different forms, and its classification and detection is an important field of modern research.
We show that the Disconnected Entanglement Entropy, a measure originally introduced to identify topological phases, is also able to unveil the long-range entanglement carried by a single excitation.
arXiv Detail & Related papers (2023-10-24T18:00:07Z) - Effective Hamiltonian approach to the quantum phase transitions in the extended Jaynes-Cummings model [0.0]
A complex discretization approximation for the environment is proposed to study the quantum phase transition in the extended Jaynes-Cumming model.
It is found that the ground state of this effective Hamiltonian determines the spin dynamics in the single-excitation subspace.
arXiv Detail & Related papers (2023-07-25T14:11:35Z) - Spectral features of polaronic excitations in a superconducting analog
simulator [0.0]
We investigate spectral properties of polaronic excitations within the framework of an analog quantum simulator.
The system emulates a lattice model that describes a nonlocal coupling of an itinerant spinless-fermion excitation to dispersionless (Einstein-type) phonons.
We show that -- based on the numerically evaluated spectral function and its well-known relation with the survival probability of the initial, bare-excitation Bloch state (the Loschmidt echo) -- one can make predictions about the system dynamics following an excitation-phonon interaction.
arXiv Detail & Related papers (2022-12-30T18:19:59Z) - Spreading of a local excitation in a Quantum Hierarchical Model [62.997667081978825]
We study the dynamics of the quantum Dyson hierarchical model in its paramagnetic phase.
An initial state made by a local excitation of the paramagnetic ground state is considered.
A localization mechanism is found and the excitation remains close to its initial position at arbitrary times.
arXiv Detail & Related papers (2022-07-14T10:05:20Z) - Topological transitions with continuously monitored free fermions [68.8204255655161]
We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits.
We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.
arXiv Detail & Related papers (2021-12-17T22:01:54Z) - Unification of Random Dynamical Decoupling and the Quantum Zeno Effect [68.8204255655161]
We show that the system dynamics under random dynamical decoupling converges to a unitary with a decoupling error that characteristically depends on the convergence speed of the Zeno limit.
This reveals a unification of the random dynamical decoupling and the quantum Zeno effect.
arXiv Detail & Related papers (2021-12-08T11:41:38Z) - Rotating Majorana Zero Modes in a disk geometry [75.34254292381189]
We study the manipulation of Majorana zero modes in a thin disk made from a $p$-wave superconductor.
We analyze the second-order topological corner modes that arise when an in-plane magnetic field is applied.
We show that oscillations persist even in the adiabatic phase because of a frequency independent coupling between zero modes and excited states.
arXiv Detail & Related papers (2021-09-08T11:18:50Z) - Quantum mold casting for topological insulating and edge states [0.0]
We study the possibility of transferring fermions from a trivial system as particle source to an empty system.
We show that this can be realized by a non-Hermitian unidirectional hopping.
Our finding reveals a classical analogy of quench dynamics in quantum matter.
arXiv Detail & Related papers (2021-01-03T10:02:48Z) - 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) - Bulk detection of time-dependent topological transitions in quenched
chiral models [48.7576911714538]
We show that the winding number of the Hamiltonian eigenstates can be read-out by measuring the mean chiral displacement of a single-particle wavefunction.
This implies that the mean chiral displacement can detect the winding number even when the underlying Hamiltonian is quenched between different topological phases.
arXiv Detail & Related papers (2020-01-16T17:44:52Z)
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.