scholarly journals Symmetry classes, many-body zero modes, and supersymmetry in the complex Sachdev-Ye-Kitaev model

2020 ◽  
Vol 101 (6) ◽  
Author(s):  
Jan Behrends ◽  
Benjamin Béri
Keyword(s):  
Many Body ◽  
Zero Modes ◽  
Symmetry Classes ◽  
Kitaev Model

scholarly journals Tenfold way and many-body zero modes in the Sachdev-Ye-Kitaev model

2019 ◽  
Vol 99 (19) ◽  
Author(s):  
Jan Behrends ◽  
Jens H. Bardarson ◽  
Benjamin Béri
Keyword(s):  
Many Body ◽  
Zero Modes ◽  
Kitaev Model

scholarly journals Many-body localization of zero modes

2020 ◽  
Vol 2 (2) ◽  
Author(s):  
Christian P. Chen ◽  
Marcin Szyniszewski ◽  
Henning Schomerus
Keyword(s):  
Many Body ◽  
Zero Modes

scholarly journals Many-body Majorana-like zero modes without gauge symmetry breaking

2021 ◽  
Vol 3 (2) ◽  
Author(s):  
V. Vadimov ◽  
T. Hyart ◽  
J. L. Lado ◽  
M. Möttönen ◽  
T. Ala-Nissila
Keyword(s):  
Gauge Symmetry ◽  
Symmetry Breaking ◽  
Many Body ◽  
Zero Modes

scholarly journals Entanglement and Disordered-Enhanced Topological Phase in the Kitaev Chain

Universe ◽  
2019 ◽  
Vol 5 (1) ◽  
pp. 33 ◽  
Author(s):  
Liron Levy ◽  
Moshe Goldstein
Keyword(s):  
Phase Diagram ◽  
Information Theory ◽  
Quantum Information ◽  
Critical Point ◽  
Entanglement Entropy ◽  
Quantum Information Theory ◽  
Topological Phase ◽  
Many Body ◽  
Zero Modes ◽  
Many Body Systems

In recent years, tools from quantum information theory have become indispensable in characterizing many-body systems. In this work, we employ measures of entanglement to study the interplay between disorder and the topological phase in 1D systems of the Kitaev type, which can host Majorana end modes at their edges. We find that the entanglement entropy may actually increase as a result of disorder, and identify the origin of this behavior in the appearance of an infinite-disorder critical point. We also employ the entanglement spectrum to accurately determine the phase diagram of the system, and find that disorder may enhance the topological phase, and lead to the appearance of Majorana zero modes in systems whose clean version is trivial.

scholarly journals Many-body localization in a finite-range Sachdev-Ye-Kitaev model and holography

2019 ◽  
Vol 99 (5) ◽  
Author(s):  
Antonio M. García-García ◽  
Masaki Tezuka
Keyword(s):  
Finite Range ◽  
Many Body ◽  
Kitaev Model

scholarly journals Many-Body Chaos in the Sachdev-Ye-Kitaev Model

2021 ◽  
Vol 126 (3) ◽  
Author(s):  
Bryce Kobrin ◽  
Zhenbin Yang ◽  
Gregory D. Kahanamoku-Meyer ◽  
Christopher T. Olund ◽  
Joel E. Moore ◽  
...  
Keyword(s):  
Many Body ◽  
Kitaev Model

scholarly journals Many-body quantum dynamics slows down at low density

2020 ◽  
Vol 9 (5) ◽  
Author(s):  
Xiao Chen ◽  
Yingfei Gu ◽  
Andrew Lucas
Keyword(s):  
Lyapunov Exponent ◽  
Density Dependence ◽  
Quantum Dynamics ◽  
Chemical Potential ◽  
Quantum Circuits ◽  
Many Body ◽  
Many Body Quantum Dynamics ◽  
Energy Conserving ◽  
Kitaev Model ◽  
Many Body Systems

We study quantum many-body systems with a global U(1) conservation law, focusing on a theory of N interacting fermions with charge conservation, or N interacting spins with one conserved component of total spin. We define an effective operator size at finite chemical potential through suitably regularized out-of-time-ordered correlation functions. The growth rate of this density-dependent operator size vanishes algebraically with charge density; hence we obtain new bounds on Lyapunov exponents and butterfly velocities in charged systems at a given density, which are parametrically stronger than any Lieb-Robinson bound. We argue that the density dependence of our bound on the Lyapunov exponent is saturated in the charged Sachdev-Ye-Kitaev model. We also study random automaton quantum circuits and Brownian Sachdev-Ye-Kitaev models, each of which exhibit a different density dependence for the Lyapunov exponent, and explain the discrepancy. We propose that our results are a cartoon for understanding Planckian-limited energy-conserving dynamics at finite temperature.

scholarly journals Bulk-boundary-defect correspondence at disclinations in rotation-symmetric topological insulators and superconductors

2021 ◽  
Vol 10 (4) ◽  
Author(s):  
Max Geier ◽  
Ion Cosma Fulga ◽  
Alexander Lau
Keyword(s):  
Topological Insulators ◽  
Three Dimensions ◽  
Topological Phases ◽  
Rotation Symmetry ◽  
First Order ◽  
Zero Modes ◽  
Symmetry Classes ◽  
Topological Lattice ◽  
Rotation Symmetric ◽  
Translation Symmetry

We study a link between the ground-state topology and the topology of the lattice via the presence of anomalous states at disclinations -- topological lattice defects that violate a rotation symmetry only locally. We first show the existence of anomalous disclination states, such as Majorana zero-modes or helical electronic states, in second-order topological phases by means of Volterra processes. Using the framework of topological crystals to construct d-dimensional crystalline topological phases with rotation and translation symmetry, we then identify all contributions to (d-2)-dimensional anomalous disclination states from weak and first-order topological phases. We perform this procedure for all Cartan symmetry classes of topological insulators and superconductors in two and three dimensions and determine whether the correspondence between bulk topology, boundary signatures, and disclination anomaly is unique.

Sign in / Sign up

Export Citation Format

Share Document