Finite-temperature Bell test for quasiparticle entanglement in the Fermi sea

Abstract

We demonstrate that the Bell test cannot be realized at finite temperatures in the vast majority of electronic setups proposed previously for quantum entanglement generation. This fundamental difficulty is shown to originate in a finite probability of quasiparticle emission from Fermi-sea detectors. In order to overcome the feedback problem, we suggest a detection strategy, which takes advantage of a resonant coupling to the quasiparticle drains. Unlike other proposals, the designed Bell test provides a possibility to determine the critical temperature for entanglement production in the solid state.

6 pages, 3 figures, essentially revised and extended version

References in corpus (8)

• Production and detection of entangled electron-hole pairs in a degenerate electron gas
• Optimal spin-entangled electron-hole pair pump
• Lower bound for electron spin entanglement from beamsplitter current correlations
• Electronic Hong-Ou-Mandel interferometer for multi-mode entanglement detection
• Full Counting Statistics with Spin-sensitive Detectors reveals Spin-singlets
• Energy entanglement in normal metal-superconducting forks
• Characterizing electron entanglement in multiterminal mesoscopic conductors
• Entanglement detection for electrons via witness operators

Cited by in corpus (5)

• Proposal for a cumulant-based Bell test for mesoscopic junctions
• Reduced and projected two-particle entanglement at finite temperatures
• Emergence of Intra-Particle Entanglement and Time-Varying Violation of Bell's Inequality in Dirac Matter
• Pseudospin entanglement and Bell test in graphene
• Topological Tenfold Classification and the Entanglement of Two Qubits