Quantum walk of a Bose-Einstein condensate in the Brillouin zone

2017/05/31 by Andrea Alberti, Sandro Wimberger
Computer Science · Physics and Astronomy · #Bose–Einstein condensate #Brillouin zone #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Einstein #Physics #Position (finance) #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum computer #Quantum mechanics #Quantum walk #Spinor #cond-mat.quant-gas #quant-ph

paper · pdf · doi:10.1103/physreva.96.023620

published as Phys. Rev. A 96, 023620 (2017) · 9 pages, 4 figures; in the new version, added a discussion about decoherence in the appendix

arxiv created 2017/07/25 · openalex publication_date 2017/08/22 · arxiv updated 2017/08/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

An experimental scheme for discrete-time quantum walks is proposed for a spinor Bose-Einstein condensate to steer through the Brillouin zone, where the position of the walker is encoded in the quasimomentum.

Citations

• Many-body physics with ultracold gases
• Berry’s phase for energy bands in solids
• Universal Computation by Quantum Walk
• Controlled Collapse of a Bose-Einstein Condensate
• Bosonic Mott Insulator with Meissner Currents
• Exciting Collective Oscillations in a Trapped 1D Gas
• Bloch Oscillations and Mean-Field Effects of Bose-Einstein Condensates in 1D Optical Lattices
• Distance measures to compare real and ideal quantum processes
• Signatures of Quantum Stability in a Classically Chaotic System
• Resonant tunneling of Bose–Einstein condensates in optical lattices
• Quantum Many Particle Systems in Ring-Shaped Optical Lattices
• Nonlinearity-induced destruction of resonant tunneling in the Wannier-Stark problem
• Realization of the Hofstadter Hamiltonian with Ultracold Atoms in Optical Lattices
• Berry phase effects on electronic properties