Feedback cooling of fermionic atoms in optical lattices
arXiv:2501.07293 · doi:10.21468/SciPostPhys.19.3.073
Abstract
We discuss the preparation of topological insulator states with fermionic ultracold atoms in optical lattices by means of measurement-based Markovian feedback control. The designed measurement and feedback operators induce an effective dissipative channel that stabilizes the desired insulator state, either in an exact way or approximately in the case where additional experimental constraints are assumed. Successful state preparation is demonstrated in one-dimensional insulators as well as for Haldane's Chern insulator, by calculating the fidelity between the target ground state and the steady state of the feedback-modified master equation. The fidelity is obtained numerically through exact diagonalization or via time evolution of the system with moderate sizes. For larger 2D systems, we compare the mean occupation of the single-particle eigenstates for the ground and steady state computed through mean-field kinetic equations.
resubmission to SciPost
References in corpus (86)
- Topological Insulators
- QuTiP 2: A Python framework for the dynamics of open quantum systems
- Experimental realisation of the topological Haldane model
- Quantum States and Phases in Driven Open Quantum Systems with Cold Atoms
- Topological characterization of periodically-driven quantum systems
- Atomic quantum gases in periodically driven optical lattices
- An Open-System Quantum Simulator with Trapped Ions
- Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
- Cold atoms in cavity-generated dynamical optical potentials
- Preparation of Entangled States by Quantum Markov Processes
- Topological Quantum Matter with Ultracold Gases in Optical Lattices
- Topological Thouless Pumping of Ultracold Fermions
- Real-time quantum feedback prepares and stabilizes photon number states
- Topology by Dissipation in Atomic Quantum Wires
- Feedback-control of quantum systems using continuous state-estimation
- Quantum feedback control of a superconducting qubit: Persistent Rabi oscillations
- A Dissipatively Stabilized Mott Insulator of Photons
- Measurement and control of a mechanical oscillator at its thermal decoherence rate
- Deterministic entanglement of superconducting qubits by parity measurement and feedback
- Realization of an anomalous Floquet topological system with ultracold atoms
- Microscopy of the interacting Harper-Hofstadter model in the few-body limit
- Observation of the Mott Insulator to Superfluid Crossover of a Driven-Dissipative Bose-Hubbard System
- Deterministic Squeezed States with Joint Measurements and Feedback
- Reinforcement Learning with Neural Networks for Quantum Feedback
- Feedback cooling of a single trapped ion
- The insulator/Chern-insulator transition in the Haldane model
- Controlled Population of Floquet-Bloch States via Coupling to Bose and Fermi Baths
- Feedback-stabilization of an arbitrary pure state of a two-level atom
- Deterministic Dicke state preparation with continuous measurement and control
- Spin squeezing via quantum feedback
- Stabilising entanglement by quantum jump-based feedback
- Controlling entanglement by direct quantum feedback
- Dynamical creation of entanglement by homodyne-mediated feedback
- Model-Free Quantum Control with Reinforcement Learning
- Field locked to Fock state by quantum feedback with single photon corrections
- Quantum Feedback Control of Atomic Motion in an Optical Cavity
- Dynamics of Ultracold Quantum Gases in the Dissipative Fermi-Hubbard Model
- Competition and interplay between topology and quasi-periodic disorder in Thouless pumping of ultracold atoms
- Generalized Bose-Einstein condensation into multiple states in driven-dissipative systems
- Induced self-stabilization in fractional quantum Hall states of light
- Measurement Based Feedback Quantum Control With Deep Reinforcement Learning for Double-well Non-linear Potential
- Quantum feedback with weak measurements
- Multipartite Entangled Spatial Modes of Ultracold Atoms Generated and Controlled by Quantum Measurement
- Deep Reinforcement Learning for Quantum State Preparation with Weak Nonlinear Measurements
- Unconditional quantum-noise suppression via measurement-based quantum feedback
- Feedback Cooling of a Single Neutral Atom
- Feedback-Induced Quantum Phase Transitions Using Weak Measurements
- Appearance and disappearance of quantum correlations in measurement-based feedback control of a mechanical oscillator
- Dynamical phases and quantum correlations in an emitter-waveguide system with feedback
- Continuous measurement feedback control of a Bose-Einstein condensate using phase contrast imaging
- Preparation of ultracold atom clouds at the shot noise level
- Realizing a deep reinforcement learning agent discovering real-time feedback control strategies for a quantum system
- Simulating nonlinear dynamics of collective spins via quantum measurement and feedback
- Parametrization of the feedback Hamiltonian realizing a pure steady state
- Squeezing and entanglement of density oscillations in a Bose-Einstein condensate
- A Deterministic and Nondestructively-Verifiable Photon Number Source
- Diffraction-Unlimited Position Measurement of Ultracold Atoms in an Optical Lattice
- Dissipation-induced topological insulators: A no-go theorem and a recipe
- Controlling spontaneous-emission noise in measurement-based feedback cooling of a Bose-Einstein Condensate
- Non-equilibrium steady states of ideal bosonic and fermionic quantum gases
- Using Spontaneous Emission of a Qubit as a Resource for Feedback Control
- Feedback-cooling of an atomic spin ensemble
- Feedback control of trapped coherent atomic ensembles
- Continuous feedback on a quantum gas coupled to an optical cavity
- Quantum Superposition State Production by Continuous Observations and Feedback
- Time-delayed feedback control of the Dicke-Hepp-Lieb superradiant quantum phase transition
- Simulation of complex dynamics of mean-field -spin models using measurement-based quantum feedback control
- Maximally localized Wannier functions for ultracold atoms in one-dimensional double-well periodic potentials
- Dissipative preparation of many-body Floquet Chern insulators
- Dissipative preparation of fractional Chern insulators
- Charge density wave and charge pump of interacting fermions in circularly shaken hexagonal optical lattices
- Cavity-based reservoir engineering for Floquet-engineered superconducting circuits
- Measurement induced dynamics and stabilization of spinor condensate domain walls
- Cooling and state preparation in an optical lattice via Markovian feedback control
- Feedback Induced Magnetic Phases in Binary Bose-Einstein Condensates
- Open-system many-body dynamics through interferometric measurements and feedback
- Feedback-stabilized dynamical steady states in the Bose-Hubbard model
- External-Feedback Laser Cooling of Gases
- Measurement and feedback for cooling heavy levitated particles in low frequency traps
- Preparing Schrödinger cat states in a microwave cavity using a neural network
- Floquet-heating-induced Bose condensation in a scar-like mode of an open driven optical-lattice system
- Feedback cooled Bose-Einstein condensation: near and far from equilibrium
- Dissipative preparation of a Floquet topological insulator in an optical lattice via bath engineering
- Quantum engineering of a synthetic thermal bath for bosonic atoms in a one-dimensional optical lattice via Markovian feedback control
- Heat transport in an optical lattice via Markovian feedback control
- Controlling Nonequilibrium Bose-Einstein Condensation with Engineered Environments