Reduced and projected two-particle entanglement at finite temperatures

Abstract

We present a theory for two-particle entanglement production and detection in mesoscopic conductors at finite temperature. In contrast to the zero temperature limit, the entanglement of the density matrix projected out of the emitted many-body state is different from the entanglement of the reduced density matrix, detectable by current correlation measurements. We show that under very general conditions the reduced entanglement constitutes a lower bound for the projected entanglement. Applying the theory to the recent experiment [Neder et al, Nature 448 333 (2007)] on a fermionic Hanbury Brown Twiss two-particle interferometer we find that despite an appreciable entanglement production in the experiment, the detectable entanglement is close to zero.

Published version (with minor extensions)

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Cited by in corpus (19)

• Nonlocal entanglement in hybrid superconducting and normal-metal three terminal devices
• Two-particle non-local Aharonov-Bohm effect from two single-particle emitters
• Hanbury-Brown and Twiss interference of anyons
• Single-electron entanglement and nonlocality
• Dynamical generation and detection of entanglement in neutral leviton pairs
• The Leggett-Garg inequality in electron interferometers
• Spectroscopy of electron flows with single- and two-particle emitters
• Proposal for a cumulant-based Bell test for mesoscopic junctions
• Proposal for non-local electron-hole turnstile in the Quantum Hall regime
• Optimal pumping of orbital entanglement with single particle emitters
• Spectral distribution and wavefunction of electrons emitted from a single particle source in the quantum Hall regime
• Optimal electron entangler and single electron source at low temperatures
• Full Counting Statistics of Quantum Point Contact with Time-dependent Transparency
• Entanglement at finite temperatures in the electronic two-particle interferometer
• Nonequilibrium thermodynamics with binary quantum correlations
• Sub Decoherence Time Generation and Detection of Orbital Entanglement
• Full Counting Statistics of Generic Spin Entangler with Quantum Dot-Ferromagnet detectors
• Continuous-Variable Entanglement Test in Driven Quantum Contacts
• Topological Tenfold Classification and the Entanglement of Two Qubits