Modulation spectroscopy with ultracold fermions in an optical lattice

Abstract

We propose an experimental setup of ultracold fermions in an optical lattice to determine the pairing gap in a superfluid state and the spin ordering in a Mott-insulating state. The idea is to apply a periodic modulation of the lattice potential and to use the thereby induced double occupancy to probe the system. We show by full time-dependent calculation using the adaptive time dependent density-matrix renormalization group method that the position of the peak in the spectrum of the induced double occupancy gives the pairing energy in a superfluid and the interaction energy in a Mott-insulator, respectively. In the Mott-insulator we relate the spectral weight of the peak to the spin ordering at finite temperature using perturbative calculations.

References in corpus (19)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Observation of resonance condensation of fermionic atom pairs
• Real time evolution using the density matrix renormalization group
• Time-dependent density-matrix renormalization-group using adaptive effective Hilbert spaces
• Transition from a strongly interacting 1D superfluid to a Mott insulator
• Observation of the Pairing Gap in a Strongly Interacting Fermi Gas
• Fermionic atoms in a 3D optical lattice: Observing Fermi-surfaces, dynamics and interactions
• Confinement induced molecules in a 1D Fermi gas
• Molecules of Fermionic Atoms in an Optical Lattice
• Probing the excitation spectrum of a Fermi gas in the BCS-BEC crossover regime
• Spin-charge separation in cold Fermi-gases: a real time analysis
• Spectroscopy of ultracold atoms by periodic lattice modulations
• Parametric excitation of a Bose-Einstein condensate in a 1D optical lattice
• Energy absorption of a Bose gas in a periodically modulated optical lattice
• Spectroscopy of Superfluid Pairing in Atomic Fermi Gases
• Inelastic light scattering from a Mott insulator
• Bragg spectroscopy of trapped one dimensional strongly interacting bosons in optical lattices: Probing the cake-structure
• Numerical simulations of strongly correlated fermions confined in 1D optical lattices
• Temperature in One-Dimensional Bosonic Mott insulators

Cited by in corpus (55)

• A Mott insulator of fermionic atoms in an optical lattice
• Fermi-Hubbard physics with atoms in an optical lattice
• An SU(N) Mott insulator of an atomic Fermi gas realized by large-spin Pomeranchuk cooling
• Ultracold Fermi Gases with Emergent SU(N) Symmetry
• Observation of Elastic Doublon Decay in the Fermi-Hubbard Model
• Nonequilibrium dynamical mean-field calculations based on the non-crossing approximation and its generalizations
• Periodic steady state and interference in a periodically driven quantum system
• Schrieffer-Wolff Transformation for Periodically Driven Systems: Strongly Correlated Systems with Artificial Gauge Fields
• Exact Liouvillian Spectrum of a One-Dimensional Dissipative Hubbard Model
• Lifetime of double occupancies in the Fermi-Hubbard model
• The Higgs mode in a two-dimensional superfluid
• Probing nearest-neighbor correlations of ultracold fermions in an optical lattice
• Entanglement in a periodic quench
• Exploring competing density order in the ionic Hubbard model with ultracold fermions
• Phonon-enhanced relaxation and excitation in the Holstein-Hubbard model
• Equation of State of the Fermionic 2D Hubbard Model
• Slow quench dynamics of periodically driven quantum gases
• Dynamically Generated Double Occupancy as a Probe of Cold Atom Systems
• Spectroscopy for cold atom gases in periodically phase-modulated optical lattices
• Probing the FFLO phase by double occupancy modulation spectroscopy
• Physics of ultracold Fermi gases revealed by spectroscopies
• Truncating the memory time in nonequilibrium DMFT calculations
• Universal probes for antiferromagnetic correlations and entropy in cold fermions on optical lattices
• Linear response as a singular limit for a periodically driven closed quantum system
• Probing the bond order wave phase transitions of the ionic Hubbard model by superlattice modulation spectroscopy
• Ultracold nonreactive molecules in an optical lattice: connecting chemistry to many-body physics
• Quantum Criticality and Population Trapping of Fermions by Non-Equilibrium Lattice Modulations
• Ground-state properties of the one-dimensional attractive Hubbard model with confinement: a comparative study
• Lattice modulation spectroscopy of strongly interacting bosons in disordered and quasi-periodic optical lattices
• ${\mathbb{Z}}_2$ slave-spin theory of a strongly correlated Chern insulator
• Competition of spin and charge excitations in the Hubbard model
• Many-body Physics of Ultracold Alkaline-Earth atoms with SU($N$)-symmetric interactions
• Hopping modulation in a one-dimensional Fermi-Hubbard Hamiltonian
• Spin correlations and doublon production rate for fermionic atoms in modulated optical lattices
• Two-body recombination in a quantum mechanical lattice gas: Entropy generation and probing of short-range magnetic correlations
• The response to dynamical modulation of the optical lattice for fermions in the Hubbard model
• Doublon production rate in modulated optical lattices
• Lattice modulation spectroscopy of one-dimensional quantum gases:Universal scaling of the absorbed energy
• First-principles quantum dynamics for fermions: Application to molecular dissociation
• Dynamical Unbinding Transition in a Periodically Driven Mott Insulator
• Theoretical Description of Coherent Doublon Creation via Lattice Modulation Spectroscopy
• Energy absorption spectroscopy of unitary Fermi gases in a uniform potential
• Spin-gap spectroscopy in a bosonic flux ladder
• Coherent pumping of a Mott insulator: Fermi golden rule versus Rabi oscillations
• Estimating heating times in periodically driven quantum many-body systems via avoided crossing spectroscopy
• Dynamical correlation functions for the one-dimensional Bose-Hubbard insulator
• Simulation of inhomogeneous distributions of ultracold atoms in an optical lattice via a massively parallel implementation of nonequilibrium strong-coupling perturbation theory
• Thermometry of ultracold fermions by (super)lattice modulation spectroscopy
• Formation of Spatial Patterns by Spin-selective Excitations of Interacting Fermions
• Feshbach modulation spectroscopy
• Double occupancies in confined attractive fermions on optical lattices
• Density-Wave and Antiferromagnetic States of Fermionic Atoms in Optical Lattices
• Finite temperature dynamical properties of SU($N$) fermionic Hubbard models in the spin-incoherent regime
• Time dependent local potential in a Tomonaga-Luttinger liquid
• Analysis of Particle Transfer by Periodic Lattice Modulation for Ultracold Fermionic Atom Systems in Three Dimensional Optical Lattice