Exploring phonon-like interactions in one-dimensional Bose-Fermi mixtures
arXiv:2303.07083 · doi:10.1103/PhysRevResearch.6.013138
Abstract
With the objective of simulating the physical behavior of electrons in a dynamic background, we investigate a cold atomic Bose-Fermi mixture confined in an optical lattice potential solely affecting the bosons. The bosons, residing in the deep superfluid regime, inherit the periodicity of the optical lattice, subsequently serving as a dynamic potential for the polarized fermions. Owing to the atom-phonon interaction between the fermions and the condensate, the coupled system exhibits a Berezinskii-Kosterlitz-Thouless transition from a Luttinger liquid to a Peierls phase. However, under sufficiently strong Bose-Fermi interaction, the Peierls phase loses stability, leading to either a collapsed or a separated phase. We find that the primary function of the optical lattice is to stabilize the Peierls phase. Furthermore, the presence of a confining harmonic trap induces a diverse physical behavior, surpassing what is observed for either bosons or fermions individually trapped. Notably, under attractive Bose-Fermi interaction, the insulating phase may adopt a fermionic wedding-cake-like configuration, reflecting the dynamic nature of the underlying lattice potential. Conversely, for repulsive interaction, the trap destabilizes the Peierls phase, causing the two species to separate.
arXiv comment16 pages, 4 figures
References in corpus (74)
- Many-Body Physics with Ultracold Gases
- Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
- Cold bosonic atoms in optical lattices
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- The Dicke Quantum Phase Transition with a Superfluid Gas in an Optical Cavity
- A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
- A Mott insulator of fermionic atoms in an optical lattice
- Spinor Bose-Einstein condensates
- Metallic and Insulating Phases of Repulsively Interacting Fermions in a 3D Optical Lattice
- Effective wave-equations for the dynamics of cigar-shaped and disc-shaped Bose condensates
- Bloch oscillations and mean-field effects of Bose-Einstein condensates in 1-D optical lattices
- Supersolid formation in a quantum gas breaking continuous translational symmetry
- Single-atom imaging of fermions in a quantum-gas microscope
- Spin and Charge Resolved Quantum Gas Microscopy of Antiferromagnetic Order in Hubbard Chains
- A Bose-Einstein condensate in an optical lattice
- Bose-Fermi Mixtures in a Three-dimensional Optical Lattice
- A Mixture of Bose and Fermi Superfluids
- Observation of Feshbach resonances between two different atomic species
- Atomic Bose-Fermi mixtures in an optical lattice
- Observing non-ergodicity due to kinetic constraints in tilted Fermi-Hubbard chains
- Mixing Quantum and Classical Mechanics
- Momentum-Resolved Bragg Spectroscopy in Optical Lattices
- Site-resolved imaging of a fermionic Mott insulator
- Supersolid versus Phase Separation in Atomic Bose-Fermi Mixture
- Mixtures of Bosonic and Fermionic Atoms in Optical Lattices
- Exponential decay properties of Wannier functions and related quantities
- Instabilities in binary mixtures of one-dimensional quantum degenerate gases
- Local quantum criticality in confined fermions on optical lattices
- Role of interactions in 87Rb-40K Bose-Fermi mixtures in a 3d optical lattice
- Luttinger liquid of polarons in one-dimensional boson-fermion mixtures
- Polaron Physics in Optical Lattices
- Fermion-Mediated Interactions Between Bosonic Atoms
- Quantum degenerate Bose-Fermi mixture of chemically different atomic species with widely tunable interactions
- Impediments to mixing classical and quantum dynamics
- Emulating Solid-State Physics with a Hybrid System of Ultracold Ions and Atoms
- Two-Element Mixture of Bose and Fermi Superfluids
- Observation of two-species vortex lattices in a mixture of mass-imbalance Bose and Fermi superfluids
- Soliton trains in Bose-Fermi mixtures
- Supersolid Bose-Fermi Mixtures in Optical Lattices
- Observation of interspecies Li-Cs Feshbach resonances
- Critical Velocity and Dissipation of an ultracold Bose-Fermi Counterflow
- Phase diagram of Bose-Fermi mixtures in one-dimensional optical lattices
- Topological superradiance in a degenerate Fermi gas
- Bose-Fermi Mixtures in One Dimension
- Quantum Monte Carlo study of confined fermions in one-dimensional optical lattices
- Quantum phases of atomic boson-fermion mixtures in optical lattices
- Component separation in harmonically trapped boson-fermion mixtures
- Fermionic bright soliton in a boson-fermion mixture
- Bose-Einstein Condensates with Cavity-Mediated Spin-Orbit Coupling
- Realization of a Townes soliton in a two-component planar Bose gas
- Observation of a Degenerate Fermi Gas Trapped by a Bose-Einstein Condensate
- Multi-band spectroscopy of ultracold fermions: Observation of reduced tunneling in attractive Bose-Fermi mixtures
- Observation of spin-spin fermion-mediated interactions between ultracold bosons
- Meissner-like effect for synthetic gauge field in multimode cavity QED
- Commensurate mixtures of ultra-cold atoms in one dimension
- Phase separation of atomic Bose-Fermi mixtures in an optical lattice
- Matter wave quantum dots (anti-dots) in ultracold atomic Bose-Fermi mixtures
- Self-bound Bose-Fermi liquids in lower dimensions
- Pairing of 1D Bose-Fermi mixtures with unequal masses
- Observation of scale invariance in two-dimensional matter-wave Townes solitons
- Dark-Bright Solitons in a Superfluid Bose-Fermi Mixture
- Pairing and density-wave phases in Boson-Fermion mixtures at fixed filling
- Fermion mediated long-range interactions of bosons in the 1D Bose-Fermi-Hubbard model
- Collective excitations and instability of an optical lattice due to unbalanced pumping
- Dark solitons near the Mott-insulator--superfluid phase transition
- Hubbard model for atomic impurities bound by the vortex lattice of a rotating BEC
- Holstein model and Peierls instability in 1D boson-fermion lattice gases
- On the Structure of the Bose-Einstein Condensate Ground State
- Commensurability effects for fermionic atoms trapped in 1D optical lattices
- Peierls instability, periodic Bose-Einstein condensates and density waves in quasi-one-dimensional boson-fermion mixtures of atomic gases
- Density-functional theory for 1D harmonically trapped Bose-Fermi mixture
- High- and low-frequency phonon modes in dipolar quantum gases trapped in deep lattices
- Quantum Dynamics of Solitons in Strongly Interacting Systems on Optical Lattices
- Optical lattices with large scattering length: Using few-body physics to simulate an electron-phonon system