Universal Thermometry for Quantum Simulation

Abstract

Quantum simulation is a highly ambitious program in cold atom research currently being pursued in laboratories worldwide. The goal is to use cold atoms in optical lattice to simulate models for unsolved strongly correlated systems, so as to deduce their properties directly from experimental data. An important step in this effort is to determine the temperature of the system, which is essential for deducing all thermodynamic functions. This step, however, remains difficult for lattice systems at the moment. Here, we propose a method based on a generalized fluctuation-dissipation theorem. It does not reply on numerical simulations and is a universal thermometry for all quantum gases systems including mixtures and spinor gases. It is also unaffected by photon shot noise.

4 pages, 3 figures, title, abstract and introduction modified

References in corpus (6)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• A quantum gas microscope - detecting single atoms in a Hubbard regime optical lattice
• Spin-Imbalance in a One-Dimensional Fermi Gas
• Condensate fraction in a 2D Bose gas measured across the Mott-insulator transition
• Slow Mass Transport and Statistical Evolution of An Atomic Gas Across the Superfluid-Mott Insulator Transition
• Cooling and Near-equilibrium Dynamics of Atomic Gases Across the Superfluid-Mott Insulator Transition

Cited by in corpus (42)

• Observation of scale invariance and universality in two-dimensional Bose gases
• Microscopic evolution of doped Mott insulators from polaronic metal to Fermi liquid
• Virial expansion for a strongly correlated Fermi system and its application to ultracold atomic Fermi gases
• Cooling and thermometry of atomic Fermi gases
• Quantum fluctuations around black hole horizons in Bose-Einstein condensates
• Doublon-hole correlations and fluctuation thermometry in a Fermi-Hubbard gas
• Extracting density-density correlations from in situ images of atomic quantum gases
• Thermometry with spin-dependent lattices
• Precision Measurements of Temperature and Chemical Potential of Quantum Gases
• Density Fluctuations across the Superfluid-Supersolid Phase Transition in a Dipolar Quantum Gas
• Direct observation of non-local fermion pairing in an attractive Fermi-Hubbard gas
• Signature of Quantum Criticality in the Density Profiles of Cold Atom Systems
• Re-entrance of Gapless Quantum Spin Liquids Observed in a Newly Synthesized Spin-1/2 Kagome Antiferromagnet $ZnC{u}_3(OH{)}_{6}S{O}_4$
• Thermodynamics and magnetic properties of the anisotropic 3D Hubbard model
• Quantum metrology with non-equilibrium steady states of quantum spin chains
• Local atom-number fluctuations in quantum gases at finite temperature
• Universal thermodynamics of an SU($N$) Fermi-Hubbard Model
• Equation of State and Thermometry of the 2D SU($N$) Fermi-Hubbard Model
• Interacting Hofstadter Interface
• Exploring quantum criticality based on ultracold atoms in optical lattices
• Thermodynamics vs. local density fluctuations in the metal/Mott-insulator crossover
• Metal-insulator transition and magnetism of SU(3) fermions in the square lattice
• Measuring pair correlations in Bose and Fermi gases via atom-resolved microscopy
• Critical Opalescence across the Doping Driven Mott Transition in Optical Lattices of Ultracold Atoms
• Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations
• Thermometry of cold atoms in optical lattices via artificial gauge fields
• Many-body Physics of Ultracold Alkaline-Earth atoms with SU($N$)-symmetric interactions
• Thermometry by correlated dephasing of impurities in a 1D Fermi gas
• Thermometry of bosonic mixtures in Optical Lattices via Demixing
• Revealing the Condensate and Non-Condensate Distributions in the Inhomogeneous Bose-Hubbard Model
• Entanglement and complexity of interacting qubits subject to asymmetric noise
• Seeing Hofstadter's Butterfly in Atomic Fermi Gases
• Boson Core Compressibility
• Strong-coupling expansion for ultracold bosons in an optical lattice at finite temperatures in the presence of superfluidity
• Temporal and spatio-temporal correlation functions for trapped Bose gases
• Thermometry of ultracold fermions by (super)lattice modulation spectroscopy
• Probing Phases and Quantum Criticality using Deviations from the Local Fluctuation-Dissipation Theorem
• Phase competitions in epitaxial Pr${}_{0.5}$Ca${}_{0.5}$MnO${}_3$/La${}_{0.5}$Sr${}_{0.5}$MnO${}_3$ superlattices
• Observing Spatial Charge and Spin Correlations in a Strongly-Interacting Fermi Gas
• Correlated decoherence and thermometry with mobile impurities in a 1D Fermi gas
• Thermodynamics of the Hubbard model on stacked honeycomb and square lattices
• Finite size effects and Hofstadter butterfly in a bosonic Mott insulator with relativistic dispersion background