On the Effect of the Coulomb Interaction in the Quantum Hall Regime

1989 ◽  
pp. 50-53
Author(s):  
H. Nielsen
Keyword(s):  
Coulomb Interaction ◽  
Quantum Hall ◽  
Quantum Hall Regime ◽  
Hall Regime

scholarly journals Transmitting the quantum state of electrons across a metallic island with Coulomb interaction

Science ◽  
2019 ◽  
Vol 366 (6470) ◽  
pp. 1243-1247 ◽  
Author(s):  
H. Duprez ◽  
E. Sivre ◽  
A. Anthore ◽  
A. Aassime ◽  
A. Cavanna ◽  
...  
Keyword(s):  
Low Temperature ◽  
Coulomb Interaction ◽  
Quantum State ◽  
Quantum Hall ◽  
Quantum Phase ◽  
Electron Charge ◽  
Quantum Hall Regime ◽  
Hall Regime ◽  
Integer Quantum ◽  
Electronic Channel

The Coulomb interaction generally limits the quantum propagation of electrons. However, it can also provide a mechanism to transfer their quantum state over larger distances. Here, we demonstrate such a form of electron teleportation across a metallic island. This effect originates from the low-temperature freezing of the island’s charge Q which, in the presence of a single connected electronic channel, enforces a one-to-one correspondence between incoming and outgoing electrons. Such faithful quantum state imprinting is established between well-separated injection and emission locations and evidenced through two-path interferences in the integer quantum Hall regime. The additional quantum phase of 2πQ/e, where e is the electron charge, may allow for decoherence-free entanglement of propagating electrons, and notably of flying qubits.

Low-frequency edge magnetoplasmons in the quantum Hall regime under conditions of reduced Coulomb interaction

1992 ◽  
Vol 4 (15) ◽  
pp. 3955-3960 ◽  
Author(s):  
A V Polisskii ◽  
V I Talyanskii ◽  
N B Zhitenev ◽  
J Cole ◽  
C G Smith ◽  
...  
Keyword(s):  
Coulomb Interaction ◽  
Quantum Hall ◽  
Low Frequency ◽  
Quantum Hall Regime ◽  
Hall Regime

scholarly journals Nonlinear optics in the fractional quantum Hall regime

Nature ◽  
2019 ◽  
Vol 572 (7767) ◽  
pp. 91-94 ◽  
Author(s):  
Patrick Knüppel ◽  
Sylvain Ravets ◽  
Martin Kroner ◽  
Stefan Fält ◽  
Werner Wegscheider ◽  
...  
Keyword(s):  
Nonlinear Optics ◽  
Quantum Hall ◽  
Fractional Quantum ◽  
Fractional Quantum Hall ◽  
Quantum Hall Regime ◽  
Hall Regime

Current distribution in antidot arrays close to the quantum Hall regime

1999 ◽  
Vol 60 (4) ◽  
pp. 2561-2570 ◽  
Author(s):  
Rolf R. Gerhardts ◽  
Johannes Groß
Keyword(s):  
Current Distribution ◽  
Quantum Hall ◽  
Quantum Hall Regime ◽  
Hall Regime ◽  
Antidot Arrays

MACH-ZEHNDER INTERFEROMETER IN THE INTEGER QUANTUM HALL REGIME: A QUANTUM DISSIPATIVE MODEL

2009 ◽  
Vol 23 (12n13) ◽  
pp. 2927-2932
Author(s):  
E. A. ASANO
Keyword(s):  
Quantum Hall ◽  
Zehnder Interferometer ◽  
The Novel ◽  
Quantum Dissipation ◽  
Quantum Hall Regime ◽  
Hall Regime ◽  
Frequency Independent ◽  
Integer Quantum ◽  
Dissipative Model ◽  
Mach Zehnder Interferometer

We study properties of the simplest type of electron interferometer, the Mach-Zehnder Interferometer (MZI) in the Integer Quantum Hall (IQH) regime. In this work, in order to analyse the novel experimental results reported by I. Neder et al. [Phys. Rev. Lett.96, 016804 (2006)] which makes questionable the validity of Landauer-Buttiker formalism in the IQH regime, we have derived expressions for tunneling currents through the electronic MZI system whithin the model of quantum dissipation induced by an environment. In this model the MZI system is coupled to a dissipative environment, where the dissipation is introduced by coupling the MZI system to a frequency-independent Ohmic impedance Z(ω) = R.

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