Detect topological quantum phases in a one-dimensional interactional fermion system

2021 ◽  
pp. 127746
Author(s):  
Jing Zhang ◽  
Cheng-Pu Lv ◽  
Yan-Chao Li
Keyword(s):  
Fermion System ◽  
Quantum Phases ◽  
One Dimensional ◽  
Topological Quantum

scholarly journals Assessing Bound States in a One-Dimensional Topological Superconductor: Majorana versus Tamm

2021 ◽  
Author(s):  
Niccolò Traverso Ziani ◽  
Lucia Vigliotti ◽  
Matteo Carrega ◽  
Fabio Cavaliere
Keyword(s):  
Quantum Computation ◽  
Bound States ◽  
Research Activity ◽  
One Dimensional ◽  
Majorana Bound States ◽  
Topological Superconductors ◽  
Topological Quantum ◽  
Tamm State ◽  
Topological Quantum Computation ◽  
Intense Research

Majorana bound states in topological superconductors have attracted intense research activity in view of applications in topological quantum computation. However, they are not the only example of topological bound states that can occur in such systems. We here study a model in which both Majorana and Tamm bound states compete. We show both numerically and analytically that, surprisingly, the Tamm state remains partially localized even when the spectrum becomes gapless. Despite this fact, we demonstrate that the Majorana polarization shows a clear transition between the two regimes.

scholarly journals Quantum phases and topological properties of interacting fermions in one-dimensional superlattices

2019 ◽  
Vol 99 (5) ◽  
Author(s):  
L. Stenzel ◽  
A. L. C. Hayward ◽  
C. Hubig ◽  
U. Schollwöck ◽  
F. Heidrich-Meisner
Keyword(s):  
Topological Properties ◽  
Quantum Phases ◽  
One Dimensional

scholarly journals Tunable super- and subradiant boundary states in one-dimensional atomic arrays

2019 ◽  
Vol 2 (1) ◽  
Author(s):  
Anwei Zhang ◽  
Luojia Wang ◽  
Xianfeng Chen ◽  
Vladislav V. Yakovlev ◽  
Luqi Yuan
Keyword(s):  
Long Range ◽  
Quantum States ◽  
Two Dimensional ◽  
Edge States ◽  
Quantum Metrology ◽  
One Dimensional ◽  
Topological Quantum ◽  
Long Range Interactions ◽  
Boundary States ◽  
Quantum Optical

AbstractEfficient manipulation of quantum states is a key step towards applications in quantum information, quantum metrology, and nonlinear optics. Recently, atomic arrays have been shown to be a promising system for exploring topological quantum optics and robust control of quantum states, where the inherent nonlinearity is included through long-range hoppings. Here we show that a one-dimensional atomic array in a periodic magnetic field exhibits characteristic properties associated with an effective two-dimensional Hofstadter-butterfly-like model. Our work points out super- and sub-radiant topological edge states localized at the boundaries of the atomic array despite featuring long-range interactions, and opens an avenue of exploring an interacting quantum optical platform with synthetic dimensions.

Backscattering in the one-dimensional many-fermion system

1981 ◽  
Vol 37 (3) ◽  
pp. 257-260 ◽  
Author(s):  
M. Apostol
Keyword(s):  
Fermion System ◽  
One Dimensional ◽  
The One

scholarly journals GEOMETRIC PHASES AND TOPOLOGICAL QUANTUM COMPUTATION

2003 ◽  
Vol 01 (01) ◽  
pp. 1-23 ◽  
Author(s):  
VLATKO VEDRAL
Keyword(s):  
Quantum Computation ◽  
Large Scale ◽  
Quantum Computer ◽  
Fault Tolerant ◽  
Geometric Phases ◽  
Quantum Phases ◽  
Topological Quantum ◽  
Universal Quantum ◽  
The Subject ◽  
Topological Quantum Computation

In the first part of this review we introduce the basics theory behind geometric phases and emphasize their importance in quantum theory. The subject is presented in a general way so as to illustrate its wide applicability, but we also introduce a number of examples that will help the reader understand the basic issues involved. In the second part we show how to perform a universal quantum computation using only geometric effects appearing in quantum phases. It is then finally discussed how this geometric way of performing quantum gates can lead to a stable, large scale, intrinsically fault-tolerant quantum computer.

Spin-disordered quantum phases in a quasi-one-dimensional triangular lattice

2015 ◽  
Vol 11 (8) ◽  
pp. 679-683 ◽  
Author(s):  
Yukihiro Yoshida ◽  
Hiroshi Ito ◽  
Mitsuhiko Maesato ◽  
Yasuhiro Shimizu ◽  
Hiromi Hayama ◽  
...  
Keyword(s):  
Triangular Lattice ◽  
Quantum Phases ◽  
One Dimensional
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