Precision Measurements of Temperature and Chemical Potential of Quantum Gases
arXiv:1308.2735 · doi:10.1103/PhysRevA.88.063609
Abstract
We investigate the sensitivity with which the temperature and the chemical potential characterizing quantum gases can be measured. We calculate the corresponding quantum Fisher information matrices for both fermionic and bosonic gases. For the latter, particular attention is devoted to the situation close to the Bose-Einstein condensation transition, which we examine not only for the standard scenario in three dimensions, but also for generalized condensation in lower dimensions, where the bosons condense in a subspace of Hilbert space instead of a unique ground state, as well as condensation at fixed volume or fixed pressure. We show that Bose Einstein condensation can lead to sub-shot noise sensitivity for the measurement of the chemical potential. We also examine the influence of interactions on the sensitivity in three different models, and show that mean-field and contact interactions deteriorate the sensitivity but only slightly for experimentally accessible weak interactions.
References in corpus (13)
- Nonlinear atom interferometer surpasses classical precision limit
- Phase estimation without a priori knowledge in the presence of loss
- Atom trapping and two-dimensional Bose-Einstein condensates in field-induced adiabatic potentials
- Radio-frequency magnetometry using a single electron spin
- Squeezing Inequalities and Entanglement for Identical Particles
- Fluctuations of composite observables and stability of statistical systems
- Bipartite entanglement in systems of identical particles: the partial transposition criterion
- Spin-Echo-Based Magnetometry with Spinor Bose-Einstein Condensates
- Entanglement robustness and geometry in systems of identical particles
- Diamond Magnetometry of Superconducting Thin Films
- Collectively enhanced quantum measurements at the Heisenberg limit
- Light scattering for thermometry of fermionic atoms in an optical lattice
- Frequency Multiplexed Magnetometry via Compressive Sensing
Cited by in corpus (61)
- Quantum metrology from a quantum information science perspective
- Quantum enhanced measurements without entanglement
- Individual quantum probes for optimal thermometry
- Thermometry in the quantum regime: Recent theoretical progress
- Genuine quantum correlations in quantum many-body systems: a review of recent progress
- Quantum Fisher information for states in exponential form
- Single-qubit thermometry
- Quantum Thermal Machine as a Thermometer
- Local quantum thermal susceptibility
- Low-temperature thermometry can be enhanced by strong coupling
- Experimental measurement of the divergent quantum metric of an exceptional point
- Probing the temperature of cold many-body quantum systems
- Review: Quantum Metrology and Sensing with Many-Body Systems
- Fundamental limits on low-temperature quantum thermometry with finite resolution
- Achieving the Landau bound to precision of quantum thermometry in systems with vanishing gap
- Fisher information approach to non-equilibrium phase transitions in quantum XXZ spin chain with boundary noise
- Bridging thermodynamics and metrology in non-equilibrium Quantum Thermometry
- Energy-temperature uncertainty relation in quantum thermodynamics
- Quantum Fisher information and symmetric logarithmic derivative via anti-commutators
- Optimal Quantum Thermometry with Coarse-grained Measurements
- Information geometric methods for complexity
- Global and local thermometry schemes in coupled quantum systems
- Non-Markovian quantum thermometry
- Precision bounds for gradient magnetometry with atomic ensembles
- Exact correlations in the Lieb-Liniger model and detailed balance out-of-equilibrium
- Quantum metrology with non-equilibrium steady states of quantum spin chains
- Multiple phase estimation for arbitrary pure states under white noise
- Coherence enhanced quantum metrology in a nonequilibrium optical molecule
- Spectrum analysis with quantum dynamical systems
- Few-fermion thermometry
- Achieving sub-shot-noise sensing at finite temperatures
- Universal locality of quantum thermal susceptibility
- Quantum Thermometry
- Quantum sensing of temperature close to absolute zero in a Bose-Einstein condensate
- On quantum interferometric measurements of temperature
- Estimation of pulsed driven qubit parameters via quantum Fisher information
- Nonclassical correlations for quantum metrology in thermal equilibrium
- Discrimination of Ohmic thermal baths by quantum dephasing probes
- Machine classification for probe based quantum thermometry
- Thermodynamic Entanglement of Magnonic Condensates
- Temperature estimation of an entangled pair of trapped ions
- Adiabatic Sensing Technique for Optimal Temperature Estimation using Trapped Ions
- Thermometry based on Coulomb-coupled quantum dots
- Rotating Bose-Einstein condensates with a finite number of atoms confined in a ring potential: Spontaneous symmetry breaking, beyond the mean-field approximation
- Quantum optimality of photon counting for temperature measurement of thermal astronomical sources
- Coherent Averaging
- Stability of Quantum Statistical Ensembles with Respect to Local Measurements
- On Extraction of Chemical Potentials of Quarks from Particle Transverse Momentum Spectra in High Energy Collisions
- statistical ensemble: systems with fluctuating energy, particle number, and volume
- Fluctuations of spinor Bose-Einstein condensates
- Role of topology in determining the precision of a finite thermometer
- Quantum thermochemical engines
- Quantum channel-estimation with particle loss: GHZ versus W states
- Relativistic quantum thermometry through a moving sensor
- Michelson interferometer for measuring temperature
- Quantum metrology of a structured reservoir
- Finite resolution fluctuation measurements of a trapped Bose-Einstein condensate
- Rigorous investigation of the reduced density matrix for the ideal Bose gas in harmonic traps by a loop-gas-like approach
- Entropic analysis of the localization-delocalization transition in a one-dimensional correlated lattice
- Optimal temperature estimation in polariton Bose-Einstein Condensate
- Measure the temperature of the spin via weak measurement