Many-body state engineering using measurements and fixed unitary dynamics
arXiv:1406.0667 · doi:10.1088/1367-2630/16/11/113038
Abstract
We develop a scheme to prepare a desired state or subspace in high-dimensional Hilbert-spaces using repeated applications of a single static projection operator onto the desired target and fixed unitary dynamics. Benchmarks against other control schemes, performed on generic Hamiltonians and on Bose-Hubbard systems, establish the competitiveness of the method. As a concrete application of the control of mesoscopic atomic samples in optical lattices we demonstrate the near deterministic preparation of Schrödinger cat states of all atoms residing on either the odd or the even sites.
5 pages, 4 figures, New revised version with new title, added references, corrected typos and unclarities
References in corpus (25)
- Cold bosonic atoms in optical lattices
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Dynamical suppression of decoherence in two-state quantum systems
- Control of quantum phenomena: Past, present, and future
- Reference frames, superselection rules, and quantum information
- Single-Spin Addressing in an Atomic Mott Insulator
- Riemannian symmetric superspaces and their origin in random matrix theory
- Optimal control technique for Many Body Quantum Systems dynamics
- Observation of measurement-induced entanglement and quantum trajectories of remote superconducting qubits
- Quantum Non-Demolition Detection of Strongly Correlated Systems
- Probing quantum phases of ultracold atoms in optical lattices by transmission spectra in cavity QED
- Manipulating a qubit through the backaction of sequential partial measurements and real-time feedback
- Measures of macroscopicity for quantum spin systems
- Quantum control by von Neumann measurements
- Accurate Atom Counting in Mesoscopic Ensembles
- QND measurements and state preparation in quantum gases by light detection
- Fast closed-loop optimal control of ultracold atoms in an optical lattice
- Control-free control: manipulating a quantum system using only a limited set of measurements
- Measurement driven quantum evolution
- Feedback Control Using Only Quantum Back-Action
- Enhanced squeezing of a collective spin via control of its qudit subsystems
- Quantum control of spin-correlations in ultracold lattice gases
- Detection of Spin Correlations in Optical Lattices by Light Scattering
- Robust Adaptive measurement for qubit state preparation
- Non-adiabatic many-atom quantum state control in few-well systems
Cited by in corpus (29)
- Non-equilibrium steady-states in a driven-dissipative superfluid
- Quantum critical behavior influenced by measurement backaction in ultracold gases
- Full-Counting Many-Particle Dynamics: Nonlocal and Chiral Propagation of Correlations
- Feedback-Induced Quantum Phase Transitions Using Weak Measurements
- Quantum Measurement-induced Dynamics of Many-Body Ultracold Bosonic and Fermionic Systems in Optical Lattices
- Thermalization and Heating Dynamics in Open Generic Many-Body Systems
- Non-Hermitian Dynamics in the Quantum Zeno Limit
- Quantum simulators based on the global collective light-matter interaction
- Superior memory efficiency of quantum devices for the simulation of continuous-time stochastic processes
- Probing Matter-Field and Atom-Number Correlations in Optical Lattices by Global Nondestructive Addressing
- Quantum optical feedback control for creating strong correlations in many-body systems
- Quantum properties of light scattered from structured many-body phases of ultracold atoms in quantum optical lattices
- Measurement-Assisted Quantum Communication in Spin Channels with Dephasing
- Bond Order via Light-Induced Synthetic Many-body Interactions of Ultracold Atoms in Optical Lattices
- Manipulation of collective quantum states in Bose-Einstein condensates by continuous imaging
- Engineering Many-Body Dynamics with Quantum Light Potentials and Measurements
- Non-Gaussian distribution of collective operators in quantum spin chains
- Quantum Control with Measurements and Quantum Zeno Dynamics
- Quantum measurement-induced antiferromagnetic order and density modulations in ultracold Fermi gases in optical lattices
- Collective dynamics of multimode bosonic systems induced by weak quantum measurement
- Probing and Manipulating Fermionic and Bosonic Quantum Gases with Quantum Light
- Quantum Quasi-Zeno Dynamics: Transitions mediated by frequent projective measurements near the Zeno regime
- Measurement-enhanced determination of BEC phase transitions
- Tuning the universality class of phase transitions by feedback: Open quantum systems beyond dissipation
- Quantum State Reduction by Matter-Phase-Related Measurements in Optical Lattices
- Single-shot determination of quantum phases via continuous measurements
- Measurement enhances long-distance Entanglement generation in spin chains with dissipative processes
- Directed tunneling of a prescribed number of dipolar bosons in shaken triple-well potentials
- Measurement-based cooling of many-body quantum systems