Adiabatic quantum metrology with strongly correlated quantum optical systems
arXiv:1305.5730 · doi:10.1103/PhysRevA.88.023803
Abstract
We show that the quasi-adiabatic evolution of a system governed by the Dicke Hamiltonian can be described in terms of a self-induced quantum many-body metrological protocol. This effect relies on the sensitivity of the ground state to a small symmetry-breaking perturbation at the quantum phase transition, that leads to the collapse of the wavefunciton into one of two possible ground states. The scaling of the final state properties with the number of atoms and with the intensity of the symmetry breaking field, can be interpreted in terms of the precession time of an effective quantum metrological protocol. We show that our ideas can be tested with spin-phonon interactions in trapped ion setups. Our work points to a classification of quantum phase transitions in terms of the capability of many-body quantum systems for parameter estimation.
10 pages, 5 figures
References in corpus (12)
- 14-qubit entanglement: creation and coherence
- Engineered 2D Ising interactions on a trapped-ion quantum simulator with hundreds of spins
- Towards fault-tolerant quantum computing with trapped ions
- Is there a no-go theorem for superradiant quantum phase transitions in cavity and circuit QED ?
- 'Designer atoms' for quantum metrology
- Ultrasensitive force and displacement detection using trapped ions
- Structural phase transitions in low-dimensional ion crystals
- Dissipative Dynamics and Phase Transitions in Fermionic Systems
- Competing many-body interactions in systems of trapped ions
- High-fidelity ion-trap quantum computing with hyperfine clock states
- Simulation of Jahn-Teller-Dicke Magnetic Structural Phase Transition with Trapped Ions
- Mesoscopic mean-field theory for spin-boson chains in quantum optical systems
Cited by in corpus (26)
- Critical Quantum metrology with a finite-component quantum phase transition
- Verification of a many-ion simulator of the Dicke model through slow quenches across a phase transition
- Critical parametric quantum sensing
- Critical Quantum Metrology in the Non-Linear Quantum Rabi Model
- Critical Quantum Metrology with Fully-Connected Models: From Heisenberg to Kibble-Zurek Scaling
- Understanding and Improving Critical Metrology. Quenching Superradiant Light-Matter Systems Beyond the Critical Point
- Adiabatic critical quantum metrology cannot reach the Heisenberg limit even when shortcuts to adiabaticity are applied
- Analog quantum simulation of generalized Dicke models in trapped ions
- Dynamical quantum phase transitions in a spinor Bose-Einstein condensate and criticality enhanced quantum sensing
- Optimality and Noise-Resilience of Critical Quantum Sensing
- Criticality-Enhanced Quantum Sensing with a Parametric Superconducting Resonator
- Criticality-Enhanced Quantum Sensing in the Anisotropic Quantum Rabi Model
- Collective quantum enhancement in critical quantum sensing
- Spontaneous-symmetry-breaking assisted quantum sensors
- Enhanced Two-Parameter Phase-Space-Displacement Estimation Close to Dissipative Phase Transition
- Metrology and multipartite entanglement in measurement-induced phase transition
- Pulse reverse-engineering for strong field-matter interaction
- Heisenberg scaling with classical long-range correlations
- Critical exponents for an impurity in a bosonic Josephson junction: Position measurement as a phase transition
- Critical quantum metrology in a stabilized two-photon Rabi model
- Relations between quantum metrology and criticality in general su(1, 1) systems
- Quantum sensing with ultracold simulators in lattice and ensemble systems: a review
- Critical quantum metrology robust against dissipation and non-adiabaticity
- Clock frequency estimation under spontaneous emission
- Quantum sensing of even- versus odd-body interactions
- Enhanced Parameter Estimation with Periodically Driven Quantum Probe