Tuning the universality class of phase transitions by feedback: Open quantum systems beyond dissipation
arXiv:2107.02833 · doi:10.1103/PhysRevA.104.033719
Abstract
We shift the paradigm of feedback control from the control of quantum states to the control of phase transitions in quantum systems. We show that feedback allows tuning the universality class of phase transitions via modifying its critical exponent. We expand our previous treatment [D. A. Ivanov, T. Yu. Ivanova, S. F. Caballero-Benitez, and I. B. Mekhov, Phys. Rev. Lett. 124, 010603 (2020)] of Dicke model and go beyond the approximation of adiabatically eliminated light field. Both linearized and nonlinear models of spin ensembles are considered. The tunability of quantum fluctuations near the critical point by the feedbacks of nontrivial shapes is explained by considering the fluctuation spectra and the system behavior at single quantum trajectories.
accepted in Phys. Rev. A
References in corpus (28)
- An introduction to quantum machine learning
- Cold atoms in cavity-generated dynamical optical potentials
- Quantum trajectories and open many-body quantum systems
- Quantum technologies with hybrid systems
- Learning phase transitions by confusion
- Dissipative Phase Transition in Central Spin Systems
- Discrete Time-Crystalline Order in Cavity and Circuit QED Systems
- Emergent superfluid crystals, frustration, and topologically defected states in multimode cavity QED
- Probing quantum phases of ultracold atoms in optical lattices by transmission spectra in cavity QED
- Dynamical quantum phase transitions in the dissipative Lipkin-Meshkov-Glick model and proposed realization in optical cavity QED
- Dynamics of simultaneously measured non-commuting observables
- Quantum Feedback Control of Atomic Motion in an Optical Cavity
- Quantum phase transitions in the Bose-Fermi Kondo model
- REVIEW. Quantum optics with ultracold quantum gases: towards the full quantum regime of the light-matter interaction
- Steering matter wave superradiance with an ultra-narrowband optical cavity
- Multipartite Entangled Spatial Modes of Ultracold Atoms Generated and Controlled by Quantum Measurement
- Continuous measurement feedback control of a Bose-Einstein condensate using phase contrast imaging
- Quantum Magnetic Impurities in Magnetically Ordered Systems
- Frustration of Decoherence in Open Quantum Systems
- Classical stochastic measurement trajectories: Bosonic atomic gases in an optical cavity and quantum measurement backaction
- Many-body state engineering using measurements and fixed unitary dynamics
- Quantum control of spin-correlations in ultracold lattice gases
- Probing Matter-Field and Atom-Number Correlations in Optical Lattices by Global Nondestructive Addressing
- Cavity-assisted measurement and coherent control of collective atomic spin oscillators
- Quantum Simulation of Competing Orders with Fermions in Quantum Optical Lattices
- Phase transition of light on complex quantum networks
- Critical exponent of quantum phase transitions driven by colored noise
- Characterization of Bose-Hubbard Models with Quantum Non-demolition Measurements