scholarly journals Topological quantum phase transition from a fermionic integer quantum Hall phase to a bosonic fractional quantum Hall phase through a p -wave Feshbach resonance

2017 ◽  
Vol 95 (24) ◽  
Author(s):  
Shiuan-Fan Liou ◽  
Zi-Xiang Hu ◽  
Kun Yang
Keyword(s):  
Phase Transition ◽  
Quantum Phase Transition ◽  
Feshbach Resonance ◽  
Quantum Hall ◽  
Quantum Phase ◽  
P Wave ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Topological Quantum ◽  
Integer Quantum

scholarly journals Andreev reflection of fractional quantum Hall quasiparticles

2021 ◽  
Vol 12 (1) ◽  
Author(s):  
M. Hashisaka ◽  
T. Jonckheere ◽  
T. Akiho ◽  
S. Sasaki ◽  
J. Rech ◽  
...  
Keyword(s):  
Andreev Reflection ◽  
Quantum Hall ◽  
Many Body ◽  
Fractional Quantum ◽  
Body Effect ◽  
Fractional Quantum Hall ◽  
Quantum Hall States ◽  
Body State ◽  
Topological Quantum ◽  
Integer Quantum

AbstractElectron correlation in a quantum many-body state appears as peculiar scattering behaviour at its boundary, symbolic of which is Andreev reflection at a metal-superconductor interface. Despite being fundamental in nature, dictated by the charge conservation law, however, the process has had no analogues outside the realm of superconductivity so far. Here, we report the observation of an Andreev-like process originating from a topological quantum many-body effect instead of superconductivity. A narrow junction between fractional and integer quantum Hall states shows a two-terminal conductance exceeding that of the constituent fractional state. This remarkable behaviour, while theoretically predicted more than two decades ago but not detected to date, can be interpreted as Andreev reflection of fractionally charged quasiparticles. The observed fractional quantum Hall Andreev reflection provides a fundamental picture that captures microscopic charge dynamics at the boundaries of topological quantum many-body states.

scholarly journals Dynamics of a quantum phase transition in the Aubry-André-Harper model with p -wave superconductivity

2021 ◽  
Vol 103 (10) ◽  
Author(s):  
Xianqi Tong ◽  
Ye-Ming Meng ◽  
Xunda Jiang ◽  
Chaohong Lee ◽  
Gentil Dias de Moraes Neto ◽  
...  
Keyword(s):  
Phase Transition ◽  
Quantum Phase Transition ◽  
Quantum Phase ◽  
P Wave

scholarly journals Competing ν = 5/2 fractional quantum Hall states in confined geometry

2016 ◽  
Vol 113 (44) ◽  
pp. 12386-12390 ◽  
Author(s):  
Hailong Fu ◽  
Pengjie Wang ◽  
Pujia Shan ◽  
Lin Xiong ◽  
Loren N. Pfeiffer ◽  
...  
Keyword(s):  
Quantum Computation ◽  
Filling Factor ◽  
Fault Tolerant ◽  
Quantum Hall ◽  
Point Contact ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Topological Quantum ◽  
Quantum Point ◽  
Topological Quantum Computation

Some theories predict that the filling factor 5/2 fractional quantum Hall state can exhibit non-Abelian statistics, which makes it a candidate for fault-tolerant topological quantum computation. Although the non-Abelian Pfaffian state and its particle-hole conjugate, the anti-Pfaffian state, are the most plausible wave functions for the 5/2 state, there are a number of alternatives with either Abelian or non-Abelian statistics. Recent experiments suggest that the tunneling exponents are more consistent with an Abelian state rather than a non-Abelian state. Here, we present edge-current–tunneling experiments in geometrically confined quantum point contacts, which indicate that Abelian and non-Abelian states compete at filling factor 5/2. Our results are consistent with a transition from an Abelian state to a non-Abelian state in a single quantum point contact when the confinement is tuned. Our observation suggests that there is an intrinsic non-Abelian 5/2 ground state but that the appropriate confinement is necessary to maintain it. This observation is important not only for understanding the physics of the 5/2 state but also for the design of future topological quantum computation devices.

Atomic Scale Control and Visualization of Topological Quantum Phase Transition in π‐Conjugated Polymers Driven by Their Length

2021 ◽  
pp. 2104495
Author(s):  
Héctor González‐Herrero ◽  
Jesús I. Mendieta‐Moreno ◽  
Shayan Edalatmanesh ◽  
José Santos ◽  
Nazario Martín ◽  
...  
Keyword(s):  
Phase Transition ◽  
Conjugated Polymers ◽  
Quantum Phase Transition ◽  
Quantum Phase ◽  
Atomic Scale ◽  
Topological Quantum ◽  
Scale Control

QUANTUM COMPUTING WITH NON-ABELIAN QUASIPARTICLES

2007 ◽  
Vol 21 (08n09) ◽  
pp. 1372-1378 ◽  
Author(s):  
N. E. BONESTEEL ◽  
L. HORMOZI ◽  
G. ZIKOS ◽  
S. H. SIMON
Keyword(s):  
Dimensional Space ◽  
Quantum Hall ◽  
Three Dimensional ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Operations ◽  
Topological Quantum ◽  
Dimensional Space Time ◽  
Two Space Dimensions ◽  
Topological Quantum Computation

In topological quantum computation quantum information is stored in exotic states of matter which are intrinsically protected from decoherence, and quantum operations are carried out by dragging particle-like excitations (quasiparticles) around one another in two space dimensions. The resulting quasiparticle trajectories define world-lines in three dimensional space-time, and the corresponding quantum operations depend only on the topology of the braids formed by these world-lines. We describe recent work showing how to find braids which can be used to perform arbitrary quantum computations using a specific kind of quasiparticle (those described by the so-called Fibonacci anyon model) which are thought to exist in the experimentally observed ν = 12/5 fractional quantum Hall state.

scholarly journals Atomic Scale Control and Visualization of Topological Quantum Phase Transition in π‐Conjugated Polymers Driven by Their Length (Adv. Mater. 44/2021)

2021 ◽  
Vol 33 (44) ◽  
pp. 2170349
Author(s):  
Héctor González‐Herrero ◽  
Jesús I. Mendieta‐Moreno ◽  
Shayan Edalatmanesh ◽  
José Santos ◽  
Nazario Martín ◽  
...  
Keyword(s):  
Phase Transition ◽  
Conjugated Polymers ◽  
Quantum Phase Transition ◽  
Quantum Phase ◽  
Atomic Scale ◽  
Topological Quantum ◽  
Scale Control

scholarly journals Publisher Correction: Topological quantum phase transition in the Ising-like antiferromagnetic spin chain BaCo2V2O8

2018 ◽  
Vol 14 (8) ◽  
pp. 867-867 ◽  
Author(s):  
Quentin Faure ◽  
Shintaro Takayoshi ◽  
Sylvain Petit ◽  
Virginie Simonet ◽  
Stéphane Raymond ◽  
...  
Keyword(s):  
Phase Transition ◽  
Quantum Phase Transition ◽  
Spin Chain ◽  
Quantum Phase ◽  
Topological Quantum ◽  
Antiferromagnetic Spin

scholarly journals Topological quantum phase transition in the Ising-like antiferromagnetic spin chain BaCo2V2O8

2018 ◽  
Vol 14 (7) ◽  
pp. 716-722 ◽  
Author(s):  
Quentin Faure ◽  
Shintaro Takayoshi ◽  
Sylvain Petit ◽  
Virginie Simonet ◽  
Stéphane Raymond ◽  
...  
Keyword(s):  
Phase Transition ◽  
Quantum Phase Transition ◽  
Spin Chain ◽  
Quantum Phase ◽  
Topological Quantum ◽  
Antiferromagnetic Spin
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