Adiabatic quantum metrology with strongly correlated quantum optical systems

Ivanov, Peter A.; Porras, Diego

doi:10.1103/physreva.88.023803

Cited by 40 publications

(45 citation statements)

References 43 publications

(66 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The Dicke Hamiltonian exhibits a quantum phasetransition at B c = g 2 0 /|δ| in the thermodynamic limit, i.e. N → ∞, [39][40][41], separating the normal (B > B c ) and superradiant (B < B c ) phases. The Hamiltonian remains unchanged under the simultaneous transforma-tionsŜ z → −Ŝ z ,Ŝ y → −Ŝ y andâ → −â.…”

Section: Fig 1 Implementation and Dynamical Protocol (A) Thementioning

confidence: 99%

Verification of a Many-Ion Simulator of the Dicke Model Through Slow Quenches across a Phase Transition

et al. 2018

View full text Add to dashboard Cite

We use a self-assembled two-dimensional Coulomb crystal of ∼70 ions in the presence of an external transverse field to engineer a simulator of the Dicke Hamiltonian, an iconic model in quantum optics which features a quantum phase transition between a superradiant (ferromagnetic) and a normal (paramagnetic) phase. We experimentally implement slow quenches across the quantum critical point and benchmark the dynamics and the performance of the simulator through extensive theory-experiment comparisons which show excellent agreement. The implementation of the Dicke model in fully controllable trapped ion arrays can open a path for the generation of highly entangled states useful for enhanced metrology and the observation of scrambling and quantum chaos in a many-body system.

show abstract

Section: Fig 1 Implementation and Dynamical Protocol (A) Thementioning

confidence: 99%

Verification of a Many-Ion Simulator of the Dicke Model Through Slow Quenches across a Phase Transition

et al. 2018

View full text Add to dashboard Cite

show abstract

“…Therefore, a question naturally arises: what sensitivity can be achieved using interacting systems close to a quantum-critical point? In the last few years, this question has attracted growing interest and it has been addressed by different methods [3][4][5][6][7][8][9]. These studies may be roughly divided in two classes.The first approach, which we will call the "dynamical" paradigm [5,7], focus on the time evolution induced by a Hamiltonian close to a critical point.…”

mentioning

confidence: 99%

Critical Quantum Metrology with a Finite-Component Quantum Phase Transition

et al. 2020

View full text Add to dashboard Cite

Physical systems close to a quantum phase transition exhibit a divergent susceptibility, suggesting that an arbitrarily-high precision may be achieved by exploiting quantum critical systems as probes to estimate a physical parameter. However, such an improvement in sensitivity is counterbalanced by the closing of the energy gap, which implies a critical slowing down and an inevitable growth of the protocol duration. Here, we design different metrological protocols that make use of the superradiant phase transition of the quantum Rabi model, a finite-component system composed of a single two-level atom interacting with a single bosonic mode. We show that, in spite of the critical slowing down, critical quantum optical systems can lead to a quantum-enhanced time-scaling of the quantum Fisher information, and so of the measurement sensitivity.In a system close to a critical point, small variations of physical parameters may lead to dramatic changes in the equilibrium state properties. The possibility of exploiting this sensitivity for metrological purposes is well known, and it has already been applied in classical devices, e.g. in superconducting transition-edge sensor [1]. Besides, the development of quantum metrology has extensively shown that quantum states can outperform their classical counterparts for sensing tasks [2]. Therefore, a question naturally arises: what sensitivity can be achieved using interacting systems close to a quantum-critical point? In the last few years, this question has attracted growing interest and it has been addressed by different methods [3][4][5][6][7][8][9]. These studies may be roughly divided in two classes.The first approach, which we will call the "dynamical" paradigm [5,7], focus on the time evolution induced by a Hamiltonian close to a critical point. In this approach, one prepares a probe system in a suitably chosen state, lets it evolve according to the critical Hamiltonian, and finally measures it. This bear close similarity to the standard interferometric paradigm of quantum metrology [2]. On the other hand, the "static" approach [3, 6] is based on the equilibrium properties of the system. It consists in preparing and measuring the system ground state in the unitary case, or the system steady-state when open quantum systems are considered. In proximity of the phase transition the susceptibility of the equilibrium state diverges, and so it does the achievable measurement precision. Unfortunately, the time required to prepare the equilibrium state diverges as well, both in the unitary [10] and in the driven-dissipative case [11,12], a behavior called critical slowing down. Only very re-cently, it has been demonstrated that for a large class of spin models these two approaches are formally equivalent [9], and that they both make it possible to achieve the optimal scaling limit of precision with respect to system size and to measurement time. These results were obtained considering spin systems that undergo quantum phase transitions in the thermodynamic limit, where the numb...

show abstract

“…The model introduced in (6) may be implemented with single qubit photon laser using single atoms [57] or superconducting qubits [58][59][60]. The phononic excitations in ion traps can also play the role of the bosonic field [61,62], in which case this systems allows the precise measurement of ultraweak forces resonant with the trapping frequency [14,[63][64][65][66]. A possible implementation of our model with trapped ions may be carried out by extending the implementation sketched in [14], in which it was shown that local sources of error such as heating or dephasing only result in a renormalization of the parameters.…”

Section: Discussionmentioning

confidence: 99%

Heisenberg scaling with classical long-range correlations

2018

View full text Add to dashboard Cite

The Heisenberg scaling is typically associated with nonclassicality and entanglement. In this work, however, we discuss how classical long-range correlations between lattice sites in many-body systems may lead to a 1/N scaling in precision with the number of probes in the context of quantum optical dissipative systems. In particular, we show that networks of coupled single qubit lasers can be mapped onto a classical XY model, and a Heisenberg scaling with the number of sites appears when estimating the amplitude and phase of a weak periodic driving field. arXiv:1708.09361v2 [quant-ph]

show abstract

Adiabatic quantum metrology with strongly correlated quantum optical systems

Cited by 40 publications

References 43 publications

Verification of a Many-Ion Simulator of the Dicke Model Through Slow Quenches across a Phase Transition

Verification of a Many-Ion Simulator of the Dicke Model Through Slow Quenches across a Phase Transition

Critical Quantum Metrology with a Finite-Component Quantum Phase Transition

Heisenberg scaling with classical long-range correlations

Contact Info

Product

Resources

About