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 Page curve from non-Markovianity

2021 ◽  
Vol 2021 (6) ◽  
Author(s):  
Kaixiang Su ◽  
Pengfei Zhang ◽  
Hui Zhai
Keyword(s):  
Many Body ◽  
Thermal Entropy ◽  
Initial Stage ◽  
Environment Temperature ◽  
Exactly Solvable ◽  
Long Time ◽  
Kitaev Model ◽  
Many Body Systems ◽  
Near Future ◽  
System Entropy

Abstract In this paper, we use the exactly solvable Sachdev-Ye-Kitaev model to address the issue of entropy dynamics when an interacting quantum system is coupled to a non-Markovian environment. We find that at the initial stage, the entropy always increases linearly matching the Markovian result. When the system thermalizes with the environment at a sufficiently long time, if the environment temperature is low and the coupling between system and environment is weak, then the total thermal entropy is low and the entanglement between system and environment is also weak, which yields a small system entropy in the long-time steady state. This manifestation of non-Markovian effects of the environment forces the entropy to decrease in the later stage, which yields the Page curve for the entropy dynamics. We argue that this physical scenario revealed by the exact solution of the Sachdev-Ye-Kitaev model is universally applicable for general chaotic quantum many-body systems and can be verified experimentally in near future.

Novel simulation model for many-body multipole dispersion interactions

1998 ◽  
Vol 94 (3) ◽  
pp. 417-433 ◽  
Author(s):  
MARTIN VAN DER HOEF ◽  
PAUL MADDEN
Keyword(s):  
Simulation Model ◽  
Dispersion Interactions ◽  
Many Body
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