Emergent topology under slow non-adiabatic quantum dynamics
- URL: http://arxiv.org/abs/2007.09842v1
- Date: Mon, 20 Jul 2020 02:23:27 GMT
- Title: Emergent topology under slow non-adiabatic quantum dynamics
- Authors: Junchen Ye, Fuxiang Li
- Abstract summary: We provide a generic non-adiabatic protocol of slowly quenching the system Hamiltonian.
We find that the topological invariants of the post-quench Hamiltonian are characterized directly by the values of spin texture on the band surfaces.
Our findings are not restricted to 1D and 2D topological phases under Coulomb-like quench protocol, but are also valid for higher dimensional system or different quench protocol.
- Score: 2.132096006921048
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Characterization of equilibrium topological quantum phases by non-equilibrium
quench dynamics provides a novel and efficient scheme in detecting topological
invariants defined in equilibrium. Nevertheless, most of the previous studies
have focused on the ideal sudden quench regime. Here we provide a generic
non-adiabatic protocol of slowly quenching the system Hamiltonian, and
investigate the non-adiabatic dynamical characterization scheme of topological
phase. The {\it slow} quench protocol is realized by introducing a Coulomb-like
Landau-Zener problem, and it can describe, in a unified way, the crossover from
sudden quench regime (deep non-adiabatic limit) to adiabatic regime. By
analytically obtaining the final state vector after non-adiabatic evolution, we
can calculate the time-averaged spin polarization and the corresponding
topological spin texture. We find that the topological invariants of the
post-quench Hamiltonian are characterized directly by the values of spin
texture on the band inversion surfaces. Compared to the sudden quench regime,
where one has to take an additional step to calculate the {\it gradients} of
spin polarization, this non-adiabatic characterization provides a {\it minimal}
scheme in detecting the topological invariants. Our findings are not restricted
to 1D and 2D topological phases under Coulomb-like quench protocol, but are
also valid for higher dimensional system or different quench protocol.
Related papers
- Topological Transitions in a Kerr Nonlinear Oscillator [2.581291072683578]
A Kerr nonlinear oscillator (KNO) supports a pair of steady eigenstates, coherent states with opposite phases.
Adiabatic eigenstate evolution is used to measure all three physical observables.
Topological transitions are revealed by the jump of the first Chern number.
arXiv Detail & Related papers (2024-07-10T15:01:05Z) - Dynamical topology of chiral and nonreciprocal state transfers in a non-Hermitian quantum system [11.467872077398688]
We study topological chiral and nonreciprocal dynamics by encircling the exceptional points (EPs) of non-Hermitian Hamiltonians in a trapped ion system.
These dynamics are topologically robust against external perturbations even in the presence dissipation-induced nonadiabatic processes.
Our results mark a significant step towards exploring topological properties of open quantum systems.
arXiv Detail & Related papers (2024-06-05T07:51:58Z) - Emerging topological characterization in non-equilibrium states of quenched Kitaev chains [0.0]
Topological characteristics of quantum systems are determined by the closing of a gap.
The dynamical quantum phase transition (DQPT) during quantum real-time evolution has emerged as a nonequilibrium analog to the quantum phase transition (QPT)
arXiv Detail & Related papers (2023-11-14T10:26:15Z) - Dissipative preparation of a Floquet topological insulator in an optical lattice via bath engineering [44.99833362998488]
Floquet engineering is an important tool for realizing charge-neutral atoms in optical lattices.
We show that a driven-dissipative system approximates a topological insulator.
arXiv Detail & Related papers (2023-07-07T17:47:50Z) - 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) - Harmonic oscillator kicked by spin measurements: a Floquet-like system
without classical analogous [62.997667081978825]
The impulsive driving is provided by stroboscopic measurements on an ancillary degree of freedom.
The dynamics of this system is determined in closed analytical form.
We observe regimes with crystalline and quasicrystalline structures in phase space, resonances, and evidences of chaotic behavior.
arXiv Detail & Related papers (2021-11-23T20:25:57Z) - Bridging the gap between topological non-Hermitian physics and open
quantum systems [62.997667081978825]
We show how to detect a transition between different topological phases by measuring the response to local perturbations.
Our formalism is exemplified in a 1D Hatano-Nelson model, highlighting the difference between the bosonic and fermionic cases.
arXiv Detail & Related papers (2021-09-22T18:00:17Z) - 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) - Detecting non-Bloch topological invariants in quantum dynamics [7.544412038291252]
Non-Bloch topological invariants preserve the bulk-boundary correspondence in non-Hermitian systems.
We report the dynamic detection of non-Bloch topological invariants in single-photon quantum walks.
Our work sheds new light on the experimental investigation of non-Hermitian topology.
arXiv Detail & Related papers (2021-07-30T16:40:30Z) - Non-Hermitian Floquet phases with even-integer topological invariants in
a periodically quenched two-leg ladder [0.0]
Periodically driven non-Hermitian systems could possess exotic nonequilibrium phases with unique topological, dynamical and transport properties.
We introduce an experimentally realizable two-leg ladder model subjecting to both time-periodic quenches and non-Hermitian effects.
Our work thus introduces a new type of non-Hermitian Floquet topological matter, and further reveals the richness of topology and dynamics in driven open systems.
arXiv Detail & Related papers (2020-06-16T03:22:53Z) - 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.