Coherent electron splitting in interacting chiral edge channels
arXiv:2407.11491 · doi:10.1103/PhysRevB.111.165414
Abstract
This paper theoretically studies the quantum coherence of an electronic state on an artificial chiral Tomonaga-Luttinger (TL) liquid. Coulomb interaction between copropagating integer quantum Hall edge channels causes the TL liquid nature of charge excitations, resulting in the splitting of an electronic state into bosonic eigenmodes. We investigate the single-electron coherence under the splitting process by calculating the Aharonov-Bohm (AB) oscillations in an electronic Mach-Zehnder interferometer employing copropagating spin-up and spin-down edge channels as the interference paths. We investigate the voltage bias dependence of the AB oscillations at zero temperature, taking the inter-channel interaction into account using the bosonization technique. The calculation results of the visibility and the phase of the AB oscillations show non-monotonical bias dependence when the copropagating channels are electrostatically asymmetric. These observations are interpreted as the signatures of the second-order interference between the fractionalized spin excitations with different phase evolutions. We also report finite entanglement entropy between the bosonic eigenmodes split from an electron, which presents an analogy between the `electron splitting' in a TL liquid and the Cooper-pair splitting at a superconducting junction.
arXiv comment12 pages, 7 figures
References in corpus (29)
- An Electronic Mach-Zehnder Interferometer
- Measuring Renyi Entanglement Entropy with Quantum Monte Carlo
- Probing spin-charge separation in a Tomonaga-Luttinger liquid
- Dephasing in the electronic Mach-Zehnder interferometer at filling factor 2
- Finite bias visibility of the electronic Mach-Zehnder interferometer
- Separation of neutral and charge modes in one dimensional chiral edge channels
- Fractionalized Wave Packets from an Artificial Tomonaga-Luttinger Liquid
- Hong-Ou-Mandel experiment for temporal investigation of single electron fractionalization
- Measuring entanglement using quantum quenches
- Fractional charges on an integer quantum Hall edge
- Waveform measurement of charge- and spin-density wave packets in a Tomonaga-Luttinger liquid
- Edge Channel Interference Controlled by Landau Level Filling
- Unexpected finite-bias visibility dependence in an electronic Mach Zehnder interferometer
- Decoherence and interactions in an electronic Mach-Zehnder interferometer
- Resonant dephasing in the electronic Mach-Zehnder interferometer
- Nonequilibrium Dephasing in an Electronic Mach-Zehnder Interferometer
- The Behavior of Electronic Interferometers in the Non-Linear Regime
- Characterizing complexity of many-body quantum dynamics by higher-order eigenstate thermalization
- Particle entanglement in continuum many-body systems via quantum Monte Carlo
- Andreev reflection of fractional quantum Hall quasiparticles
- Universal chiral Luttinger liquid behavior in a graphene fractional quantum Hall point contact
- Collisional interferometry of Levitons in quantum Hall edge channels at
- Counting Statistics and Dephasing Transition in an Electronic Mach-Zehnder Interferometer
- Influence of channel mixing in fermionic Hong-Ou-Mandel experiments
- Measuring statistics-induced entanglement entropy with a Hong-Ou-Mandel interferometer
- Gate controlled unitary operation on flying spin qubits in quantum Hall edge states
- Rényi entropy of quantum anharmonic chain at non-zero temperature
- Half-mirror for electrons on quantum Hall copropagating edge channels
- Mach-Zehnder interference of fractionalized electron-spin excitations