Probing many-body interactions in an optical lattice clock

Abstract

We present a unifying theoretical framework that describes recently observed many-body effects during the interrogation of an optical lattice clock operated with thousands of fermionic alkaline earth atoms. The framework is based on a many-body master equation that accounts for the interplay between elastic and inelastic p-wave and s-wave interactions, finite temperature effects and excitation inhomogeneity during the quantum dynamics of the interrogated atoms. Solutions of the master equation in different parameter regimes are presented and compared. It is shown that a general solution can be obtained by using the so called Truncated Wigner Approximation which is applied in our case in the context of an open quantum system. We use the developed framework to model the density shift and decay of the fringes observed during Ramsey spectroscopy in the JILA 87Sr and NIST 171Yb optical lattice clocks. The developed framework opens a suitable path for dealing with a variety of strongly-correlated and driven open-quantum spin systems.

36 pages, 19 figures

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Cited by in corpus (36)

• 1.5 $\mu$m lasers with sub 10 mHz linewidth
• Spectroscopic observation of SU(N)-symmetric interactions in Sr orbital magnetism
• Ultracold Fermi Gases with Emergent SU(N) Symmetry
• Synthetic spin-orbit coupling in an optical lattice clock
• Observation of a Transition Between Dynamical Phases in a Quantum Degenerate Fermi Gas
• Dynamical phase transitions in the collisionless pre-thermal states of isolated quantum systems: theory and experiments
• Quantum correlations and entanglement in far-from-equilibrium spin systems
• Noise and instability of an optical lattice clock
• Dynamics of interacting fermions under spin-orbit coupling in an optical lattice clock
• Dynamics of correlations in two-dimensional quantum spin models with long-range interactions: A phase-space Monte-Carlo study
• Spreading of correlations in exactly-solvable quantum models with long-range interactions in arbitrary dimensions
• SU(3) semiclassical representation of quantum dynamics of interacting spins
• Hamiltonian engineering of spin-orbit coupled fermions in a Wannier-Stark optical lattice clock
• Conditional Ramsey Spectroscopy with Synchronized Atoms
• Dynamical generation of spin squeezing in ultra-cold dipolar molecules
• Engineering spin squeezing in a 3D optical lattice with interacting spin-orbit-coupled fermions
• Semiclassical approach to Dynamics of Interacting Fermions
• Clock spectroscopy of interacting bosons in deep optical lattices
• Spin squeezing and many-body dipolar dynamics in optical lattice clocks
• Accessing Rydberg-dressed interactions using many-body Ramsey dynamics
• Doubly Modulated Optical Lattice Clock Interference and Topology
• Optical lattice clocks with weakly bound molecules
• Semiclassical quench dynamics of Bose gases in optical lattices
• Realizing Exactly Solvable SU(N) Magnets with Thermal Atoms
• Absolute frequency measurement of the 87Sr optical lattice clock at NTSC using International Atomic Time
• Simulation of XXZ Spin Models using Sideband Transitions in Trapped Bosonic Gases
• Dipole-dipole frequency shifts in multilevel atoms
• Protected subspace Ramsey spectroscopy
• Effective many-body parameters for atoms in non-separable Gaussian optical potentials
• Cancellation of Collisional Frequency Shifts in Optical Lattice Clocks with Rabi Spectroscopy
• Simulating fermions in spin-dependent potentials with spin models on an energy lattice
• Pairing correlations in a trapped one-dimensional Fermi gas
• Effective multi-body SU($N$)-symmetric interactions of ultracold fermionic atoms on a 3-D lattice
• Collective P-Wave Orbital Dynamics of Ultracold Fermions
• Decomposed description of Ramsey spectra under atomic interactions
• Disentangling Pauli blocking of atomic decay from cooperative radiation and atomic motion in a 2D Fermi gas