Nondestructive Probing of Means, Variances, and Correlations of Ultracold-Atomic-System Densities via Qubit Impurities

Abstract

We show how impurity atoms can measure moments of ultracold atomic gas densities, using the example of bosons in a one-dimensional lattice. This builds on a body of work regarding the probing of systems by measuring the dephasing of an immersed qubit. We show this dephasing is captured by a function resembling characteristic functions of probability theory, of which the derivatives at short times reveal moments of the system operator to which the qubit couples. For a qubit formed by an impurity atom, in a system of ultracold atoms, this operator can be the density of the system at the location of the impurity, and thus, means, variances, and correlations of the atomic densities are accessible.

6 pages, 3 figures

References in corpus (13)

• Many-Body Physics with Ultracold Gases
• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Matrix product states represent ground states faithfully
• Single-Spin Addressing in an Atomic Mott Insulator
• Spatial quantum noise interferometry in expanding ultracold atom clouds
• Measuring entanglement growth in quench dynamics of bosons in an optical lattice
• Bose-Fermi Mixtures in a Three-dimensional Optical Lattice
• Time dependent impurity in ultracold fermions: orthogonality catastrophe and beyond
• Control of the interaction in a Fermi-Bose mixture
• Assessing the non-equilibrium thermodynamics in a quenched quantum many-body system via single projective measurements
• Non-destructive selective probing of phononic excitations in a cold Bose gas using impurities
• Ultra cold atoms and Bose-Einstein condensation for quantum metrology

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