Klein-Tunneling of a Quasirelativistic Bose-Einstein Condensate in an Optical Lattice

Abstract

Optical lattices have proven to be powerful systems for quantum simulations of solid state physics effects. Here we report a proof-of-principle experiment simulating effects predicted by relativistic wave equations with ultracold atoms in a bichromatic optical lattice that allows for a tailoring of the dispersion relation. We observe the analog of Klein-tunneling, the penetration of relativistic particles through a potential barrier without the exponential damping that is characteristic for nonrelativistic quantum tunneling. Both linear (relativistic) and quadratic (nonrelativistic) dispersion relations are investigated, and significant barrier transmission is observed only for the relativistic case.

main: 4 pages, 4 figures supplement: 4 pages, 1 figure

References in corpus (11)

• Many-Body Physics with Ultracold Gases
• Chiral tunneling and the Klein paradox in graphene
• Quantum interference and Klein tunneling in graphene heterojunctions
• Evidence of Klein tunneling in graphene p-n junctions
• Dirac Equation and Quantum Relativistic Effects in a Single Trapped Ion
• Observing Zitterbewegung in Ultracold Atoms
• Quantum simulation of the Klein paradox with trapped ions
• Cold atom simulation of interacting relativistic quantum field theories
• Tunable few-electron double quantum dots and Klein tunnelling in ultra-clean carbon nanotubes
• Quasi-relativistic behavior of cold atoms in light fields
• Klein tunneling and Dirac potentials in trapped ions

Cited by in corpus (46)

• Strongly Correlated Quantum Fluids: Ultracold Quantum Gases, Quantum Chromodynamic Plasmas, and Holographic Duality
• Quantum Rabi Model with Trapped Ions
• Direct observation of zitterbewegung in a Bose-Einstein condensate
• Synthetic Unruh effect in cold atoms
• Experimental control of transport resonances in a coherent quantum rocking ratchet
• Quantum Simulator for Transport Phenomena in Fluid Flows
• Kuramoto dynamics in Hamiltonian systems
• Dirac Equation in (1+1)-Dimensional Curved Spacetime and the Multiphoton Quantum Rabi Model
• Double transfer through Dirac points in a tunable honeycomb optical lattice
• Quantum Simulations of Relativistic Quantum Physics in Circuit QED
• Wannier-Stark states and Bloch oscillations in the honeycomb lattice
• Angular-dependent Klein tunneling in photonic graphene
• Tachyon physics with trapped ions
• Intrinsic Photoconductivity of Ultracold Fermions in Optical Lattices
• Quantum Rabi model in the Brillouin zone with ultracold atoms
• Robust state preparation in quantum simulations of Dirac dynamics
• Experimental Realization of a Relativistic Harmonic Oscillator
• The "Majoranon" and how to realize it in a tabletop experiment
• Tuning the mobility of a driven Bose-Einstein condensate via diabatic Floquet bands
• Simulation and measurement of the fractional particle number in one-dimensional optical lattices
• Spin-dependent Klein tunneling in polariton graphene with photonic spin-orbit interaction
• Different models of gravitating Dirac fermions in optical lattices
• Quantum Simulation of Noncausal Kinematic Transformations
• Optical simulation of the free Dirac equation
• Veselago lensing with ultracold atoms in an optical lattice
• The quantum Rabi model in a superfluid Bose-Einstein condensate
• Goos-Hänchen shifts in spin-orbit-coupled cold atoms
• Simulating Dirac models with ultracold atoms in optical lattices
• Analog Simulation of Weyl Particles with Cold Atoms
• Mapping curved spacetimes into Dirac spinors
• Atom Pairing in Optical Superlattices
• Space-time resolved quantum field approach to Klein tunneling dynamics across a finite barrier
• Dirac equation in exotic spacetimes
• Perfect transmission at oblique incidence by trigonal warping in graphene P-N junctions
• Encoding relativistic potential dynamics into free evolution
• The nonrelativistic limit of the Majorana equation and its simulation in trapped ions
• Klein tunneling of two correlated bosons
• On the effective Dirac equation for ultracold atoms in optical lattices: role of the localization properties of the Wannier functions
• One-dimensional s-p superlattice
• Phase dependent loading of Bloch bands and Quantum simulation of relativistic wave equation predictions with ultracold atoms in variably shaped optical lattice potentials
• Revealing inherent quantum interference and entanglement of a Dirac particle
• Loading ultracold atoms onto nonlinear Bloch states and soliton states in bichromatic lattices
• Fast and selective inter-band transfer of ultracold atoms in bichromatic lattices permitting Dirac points
• Unusual behavior of sound velocity of a Bose gas in an optical superlattice at quasi-one-dimension
• Proper relativistic position operators in 1+1 and 2+1 dimensions
• Realizing topological relativistic dynamics with slow light polaritons at room temperature