Quantum control and measurement of atomic spins in polarization spectroscopy
arXiv:0909.4506 · doi:10.1016/j.optcom.2009.10.059
Abstract
Quantum control and measurement are two sides of the same coin. To affect a dynamical map, well-designed time-dependent control fields must be applied to the system of interest. To read out the quantum state, information about the system must be transferred to a probe field. We study a particular example of this dual action in the context of quantum control and measurement of atomic spins through the light-shift interaction with an off-resonant optical probe. By introducing an irreducible tensor decomposition, we identify the coupling of the Stokes vector of the light field with moments of the atomic spin state. This shows how polarization spectroscopy can be used for continuous weak measurement of atomic observables that evolve as a function of time. Simultaneously, the state-dependent light shift induced by the probe field can drive nonlinear dynamics of the spin, and can be used to generate arbitrary unitary transformations on the atoms. We revisit the derivation of the master equation in order to give a unified description of spin dynamics in the presence of both nonlinear dynamics and photon scattering. Based on this formalism, we review applications to quantum control, including the design of state-to-state mappings, and quantum-state reconstruction via continuous weak measurement on a dynamically controlled ensemble.
References in corpus (11)
- Experimental Quantum State Tomography of Optical Fields and Ultrafast Statistical Sampling
- Experimental demonstration of quantum memory for light
- Mapping photonic entanglement into and out of a quantum memory
- Quantum Non-Demolition Detection of Strongly Correlated Systems
- Quantum Control of the Hyperfine Spin of a Cs Atom Ensemble
- Efficient Quantum State Estimation by Continuous Weak Measurement and Dynamical Control
- Number Fluctuations and Energy Dissipation in Sodium Spinor Condensates
- Quantum polarization spectroscopy of ultracold spinor gases
- Quantum control of the hyperfine-coupled electron and nuclear spins in alkali atoms
- Hamiltonian Design in Atom-Light Interactions with Rubidium Ensembles: A Quantum Information Toolbox
- Conditions for spin squeezing in a cold 87Rb ensemble
Cited by in corpus (84)
- Dipolar physics: A review of experiments with magnetic quantum gases
- Cavity QED with Quantum Gases: New Paradigms in Many-Body Physics
- Comparing, Optimising and Benchmarking Quantum Control Algorithms in a Unifying Programming Framework
- Colloquium: Physics of optical lattice clocks
- Dynamical polarizability of atoms in arbitrary light fields: general theory and application to cesium
- N-Photon wave packets interacting with an arbitrary quantum system
- Force sensing based on coherent quantum noise cancellation in a hybrid optomechanical cavity with squeezed-vacuum injection
- Precision Measurement of Transition Matrix Elements via Light Shift Cancellation
- Simultaneous tracking of spin angle and amplitude beyond classical limits
- Quantum metrology with a quantum-chaotic sensor
- Encoding qubits into oscillators with atomic ensembles and squeezed light
- Noisy quantum metrology enhanced by continuous nondemolition measurement
- A state-insensitive, compensated nanofiber trap
- Quantum state tomography by continuous measurement and compressed sensing
- Experimental observation of magic-wavelength behavior in optical lattice-trapped Rb
- Quantum Control in the Cs 6S_{1/2} Ground Manifold Using rf and μw Magnetic Fields
- Accurate Determination of the Dynamical Polarizability of Dysprosium
- Simulating nonlinear dynamics of collective spins via quantum measurement and feedback
- Cold-atom based implementation of the quantum Rabi model
- Measurement of magic wavelengths for the 40Ca+ clock transition
- Quantum Optimal Control of Nuclear Spin Qudecimals in
- Quantum atom-light interfaces in the gaussian description for spin-1 systems
- Noisy atomic magnetometry in real time
- Strongly Enhanced Spin Squeezing via Quantum Control
- Frequency Shifts due to Stark Effects on a Rb two-photon transition
- Control of inhomogeneous atomic ensembles of hyperfine qudits
- Enhanced squeezing of a collective spin via control of its qudit subsystems
- Searching for quantum optimal controls in the presence of singular critical points
- Information gain in tomography - A quantum signature of chaos
- Ultra-precision quantum sensing and measurement based on nonlinear hybrid optomechanical systems containing ultracold atoms or atomic Bose-Einstein condensate
- Three-Axis Measurement and Cancellation of Background Magnetic Fields to less than 50 uG in a Cold Atom Experiment
- Three-dimensional light-matter interface for collective spin squeezing in atomic ensembles
- State-dependent potentials in a nanofiber-based two-color trap for cold atoms
- Fault-tolerant quantum computation using large spin cat-codes
- Searching for quantum optimal controls under severe constraints
- Inhomogeneous broadening of optical transitions of 87Rb atoms in an optical nanofiber trap
- Quantum tomography of the full hyperfine manifold of atomic spins via continuous measurement on an ensemble
- Scrambling and quantum chaos indicators from long-time properties of operator distributions
- Multispin Clifford codes for angular momentum errors in spin systems
- Dispersive response of atoms trapped near the surface of an optical nanofiber with applications to quantum nondemolition measurement and spin squeezing
- Magic-wavelength Faraday probe measures spin continuously and without light shifts
- Complete Quantum-State Tomography with a Local Random Field
- Entanglement-enhanced phase estimation without prior phase information
- Integrated Optical Dipole Trap for Cold Neutral Atoms with an Optical Waveguide Coupler
- Single Shot Quantum State Estimation via a Continuous Measurement in the Strong Backaction Regime
- The nonlinear Dirac equation: Preparation and stability of relativistic vortices in Bose-Einstein condensates
- Inter-species spin-noise correlations in hot atomic vapors
- Taming quantum systems: A tutorial for using shortcuts-to-adiabaticity, quantum optimal control, and reinforcement learning
- Drawing together control landscape and tomography principles
- Quantum Noise for Faraday Light Matter Interfaces
- Coherent control of atomic transport in spinor optical lattices
- Squeezing the angular momentum of an ensemble of complex multi-level atoms
- Spin noise spectroscopy of an alignment-based atomic magnetometer
- Generating nonlinearities from conditional linear operations, squeezing and measurement for quantum computation and super-Heisenberg sensing
- Real-time shot-noise-limited differential photodetection for atomic quantum control
- Quantum trajectories in spin-exchange collisions reveal the nature of spin-noise correlations in multi-species alkali vapors
- Control of conditional quantum beats in cavity QED: amplitude decoherence and phase shifts
- Noisy atomic magnetometry with Kalman filtering and measurement-based feedback
- Enhanced cooperativity for quantum-nondemolition-measurement--induced spin squeezing of atoms coupled to a nanophotonic waveguide
- Determination of the asymptotic limits of adaptive photon counting measurements for coherent-state optical phase estimation
- Measurement of the dynamic polarizability of Dy atoms near the 626-nm intercombination line
- Quantum lock-in detection of a vector light shift
- Coherent control over the high-dimensional space of the nuclear spin of alkaline-earth atoms
- Microscopic Study of the Coupled-Wire Construction and Plausible Realization in Spin-Dependent Optical Lattices
- Platonic dynamical decoupling sequences for interacting spin systems
- Quantum tomography with random diagonal unitary maps and statistical bounds on information generation using random matrix theory
- Atoms in a spin dependent optical potential: ground state topology and magnetization
- Optimized experimental optical tomography of quantum states of room-temperature alkali-metal vapor
- A Generalized Theory for Optical Cooling of a Trapped Atom with Spin
- Optical reconstruction of collective density matrix of qutrit
- Modeling local decoherence of a spin ensemble using a generalized Holstein-Primakoff mapping to a bosonic mode
- Atomic interferometer measurements of Berry's and Aharonov-Anandan's phases for isolated spins S > 1/2 non-linearly coupled to external fields
- A quantum-chaotic cesium-vapor magnetometer
- Multi-state interferometric measurement of nonlinear AC Stark shift
- Transmission spectroscopy of a single atom in the presence of tensor light shifts
- Observer-based quantum state estimation by continuous weak measurement
- Effective light-induced Hamiltonian for atoms with large nuclear spin
- Calibration of Spin-Light Coupling by Coherently Induced Faraday Rotation
- Sequential Quantum Measurements and the Instrumental Group Algebra
- Tailoring population transfer between two hyperfine ground states of Rb87
- Coherent Generation and Protection of Anticoherent Spin States
- Information acquisition, scrambling, and sensitivity to errors in quantum chaos
- Deterministic nuclear spin squeezing and squeezing by continuous measurement using vector and tensor light shifts
- Feedback in a cavity QED system for control of quantum beats