scholarly journals Gapless symmetry-protected topological phase of fermions in one dimension

2015 ◽  
Vol 91 (23) ◽  
Author(s):  
Anna Keselman ◽  
Erez Berg
Keyword(s):  
One Dimension ◽  
Topological Phase ◽  
Symmetry Protected

scholarly journals Fermionic symmetry-protected topological phase induced by interactions

2015 ◽  
Vol 91 (24) ◽  
Author(s):  
Shang-Qiang Ning ◽  
Hong-Chen Jiang ◽  
Zheng-Xin Liu
Keyword(s):  
Topological Phase ◽  
Symmetry Protected

scholarly journals Observation of a Floquet symmetry-protected topological phase with superconducting qubits

2021 ◽  
Author(s):  
Dong-Ling Deng ◽  
Xu Zhang ◽  
Wenjie Jiang ◽  
Jinfeng Deng ◽  
Ke Wang ◽  
...  
Keyword(s):  
Discrete Time ◽  
Distinct Type ◽  
Superconducting Qubits ◽  
Nitrogen Vacancy ◽  
Spontaneous Breaking ◽  
Translational Symmetry ◽  
Topological Phase ◽  
Symmetry Protected ◽  
Non Equilibrium ◽  
Time Crystals

Abstract Quantum many-body systems away from equilibrium host a rich variety of exotic phenomena that are forbidden by equilibrium thermodynamics. A prominent example is that of discrete time crystals [1-8], where time translational symmetry is spontaneously broken in periodically driven systems. Pioneering experiments have observed signatures of time crystalline phases with trapped ions [9,10], spins in nitrogen-vacancy centers [11-13], ultracold atoms [14,15], solid spin ensembles [16,17], and superconducting qubits [18-20]. Here, we report the observation of a distinct type of intrinsically non-equilibrium state of matter, a Floquet symmetry-protected topological phase, which is implemented through digital quantum simulation with an array of programmable superconducting qubits. Unlike the discrete time crystals reported in previous experiments, where spontaneous breaking of the discrete time translational symmetry occurs for local observables throughout the whole system, the Floquet symmetry-protected topological phase observed in our experiment breaks the time translational symmetry only at the boundaries and has trivial dynamics in the bulk. More concretely, we observe robust long-lived temporal correlations and sub-harmonic temporal response for the edge spins over up to 40 driving cycles using a circuit whose depth exceeds 240. We demonstrate that the sub-harmonic response is independent of whether the initial states are random product states or symmetry-protected topological states, and experimentally map out the phase boundary between the time crystalline and thermal phases. Our work paves the way to exploring novel non-equilibrium phases of matter emerging from the interplay between topology and localization as well as periodic driving, with current noisy intermediate-scale quantum processors [21].

scholarly journals Evidence for dispersing 1D Majorana channels in an iron-based superconductor

Science ◽  
2020 ◽  
Vol 367 (6473) ◽  
pp. 104-108 ◽  
Author(s):  
Zhenyu Wang ◽  
Jorge Olivares Rodriguez ◽  
Lin Jiao ◽  
Sean Howard ◽  
Martin Graham ◽  
...  
Keyword(s):  
Bound States ◽  
Domain Walls ◽  
Lattice Structure ◽  
Condensed Matter ◽  
One Dimension ◽  
Scanning Tunneling ◽  
Majorana Fermions ◽  
Topological Phase ◽  
Linear Dispersion ◽  
Combined Data

The possible realization of Majorana fermions as quasiparticle excitations in condensed-matter physics has created much excitement. Most studies have focused on Majorana bound states; however, propagating Majorana states with linear dispersion have also been predicted. Here, we report scanning tunneling spectroscopic measurements of crystalline domain walls (DWs) in FeSe0.45Te0.55. We located DWs across which the lattice structure shifts by half a unit cell. These DWs have a finite, flat density of states inside the superconducting gap, which is a hallmark of linearly dispersing modes in one dimension. This signature is absent in DWs in the related superconductor, FeSe, which is not in the topological phase. Our combined data are consistent with the observation of dispersing Majorana states at a π-phase shift DW in a proximitized topological material.

scholarly journals Kagome Chiral Spin Liquid as a GaugedU(1)Symmetry Protected Topological Phase

2015 ◽  
Vol 115 (26) ◽  
Author(s):  
Yin-Chen He ◽  
Subhro Bhattacharjee ◽  
Frank Pollmann ◽  
R. Moessner
Keyword(s):  
Spin Liquid ◽  
Topological Phase ◽  
Symmetry Protected

scholarly journals Symmetry-protected topological phases of alkaline-earth cold fermionic atoms in one dimension

2013 ◽  
Vol 102 (3) ◽  
pp. 37008 ◽  
Author(s):  
H. Nonne ◽  
M. Moliner ◽  
S. Capponi ◽  
P. Lecheminant ◽  
K. Totsuka
Keyword(s):  
Alkaline Earth ◽  
One Dimension ◽  
Topological Phases ◽  
Fermionic Atoms ◽  
Symmetry Protected
Sign in / Sign up

Export Citation Format

Share Document