Softening of Majorana edge states by long-range couplings
- URL: http://arxiv.org/abs/2301.12514v2
- Date: Mon, 3 Jul 2023 13:37:02 GMT
- Title: Softening of Majorana edge states by long-range couplings
- Authors: Alessandro Tarantola and Nicol\`o Defenu
- Abstract summary: Long-range couplings in the Kitaev chain is shown to modify the universal scaling of topological states close to the critical point.
We prove that the Majorana states become increasingly delocalised at a universal rate which is only determined by the interaction range.
- Score: 77.34726150561087
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: The inclusion of long-range couplings in the Kitaev chain is shown to modify
the universal scaling of topological states close to the critical point. By
means of the scattering approach, we prove that the Majorana states
\textit{soften}, becoming increasingly delocalised at a universal rate which is
only determined by the interaction range. This edge mechanism can be related to
a change in the value of the bulk topological index at criticality, upon
careful redefinition of the latter. The critical point turns out to be
topologically akin to the trivial phase rather than interpolating between the
two phases. Our treatment moreover showcases how various topological aspects of
quantum models can be investigated analytically.
Related papers
- Observation of a symmetry-protected topological phase in external
magnetic fields [1.4515101661933258]
We report the real-space observation of a symmetry-protected topological phase with interacting nuclear spins.
We probe the interaction-induced transition between two topologically distinct phases, both of which are classified by many-body Chern numbers.
Our findings enable direct characterization of topological features of quantum many-body states through gradually decreasing the strength of the introduced external fields.
arXiv Detail & Related papers (2022-08-10T14:08:01Z) - Tuning long-range fermion-mediated interactions in cold-atom quantum
simulators [68.8204255655161]
Engineering long-range interactions in cold-atom quantum simulators can lead to exotic quantum many-body behavior.
Here, we propose several tuning knobs, accessible in current experimental platforms, that allow to further control the range and shape of the mediated interactions.
arXiv Detail & Related papers (2022-03-31T13:32:12Z) - Accessing the topological Mott insulator in cold atom quantum simulators
with realistic Rydberg dressing [58.720142291102135]
We investigate a realistic scenario for the quantum simulation of such systems using cold Rydberg-dressed atoms in optical lattices.
We perform a detailed analysis of the phase diagram at half- and incommensurate fillings, in the mean-field approximation.
We furthermore study the stability of the phases with respect to temperature within the mean-field approximation.
arXiv Detail & Related papers (2022-03-28T14:55:28Z) - Global entanglement in a topological quantum phase transition [0.0]
We study the topological quantum phase transition (TQPT) in the Kitaev Toric code Hamiltonian with a nonlinear perturbation.
We find that the global entanglement shows a continuous and sharp transition from a maximum value in the topological phase to zero in the magnetized phase.
arXiv Detail & Related papers (2022-03-03T08:57:03Z) - Topological squashed entanglement: nonlocal order parameter for
one-dimensional topological superconductors [0.0]
We show the end-to-end, long-distance, bipartite squashed entanglement between the edges of a many-body system.
For the Kitaev chain in the entire topological phase, the edge squashed entanglement is quantized to log(2)/2, half the maximal Bell-state entanglement, and vanishes in the trivial phase.
Such topological squashed entanglement exhibits the correct scaling at the quantum phase transition, is stable in the presence of interactions, and is robust against disorder and local perturbations.
arXiv Detail & Related papers (2022-01-28T10:57:51Z) - 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) - Generalized quantum measurements with matrix product states:
Entanglement phase transition and clusterization [58.720142291102135]
We propose a method for studying the time evolution of many-body quantum lattice systems under continuous and site-resolved measurement.
We observe a peculiar phenomenon of measurement-induced particle clusterization that takes place only for frequent moderately strong measurements, but not for strong infrequent measurements.
arXiv Detail & Related papers (2021-04-21T10:36:57Z) - Measurement-Induced Entanglement Transitions in the Quantum Ising Chain:
From Infinite to Zero Clicks [0.0]
We investigate measurement-induced phase transitions in the Quantum Ising chain coupled to a monitoring environment.
We find a remarkably similar phenomenology as the measurement strength $gamma$ is increased.
We interpret the central charge mismatch near the transition in terms of noise-induced disentanglement.
arXiv Detail & Related papers (2021-03-16T15:30:57Z) - Localisation in quasiperiodic chains: a theory based on convergence of
local propagators [68.8204255655161]
We present a theory of localisation in quasiperiodic chains with nearest-neighbour hoppings, based on the convergence of local propagators.
Analysing the convergence of these continued fractions, localisation or its absence can be determined, yielding in turn the critical points and mobility edges.
Results are exemplified by analysing the theory for three quasiperiodic models covering a range of behaviour.
arXiv Detail & Related papers (2021-02-18T16:19:52Z) - Topological Phase Transitions Induced by Varying Topology and Boundaries
in the Toric Code [0.0]
We study the sensitivity of such phases of matter to the underlying topology.
We claim that these phase transitions are accompanied by broken symmetries in the excitation space.
We show that the phase transition between such steady states is effectively captured by the expectation value of the open-loop operator.
arXiv Detail & Related papers (2020-04-07T18:00:06Z)
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.