Corrigendum: Detection of motional ground state population using delayed pulses (2016<i>New J. Phys.</i>18 013037)

Gebert, Florian; Wan, Yong; Wolf, Fabian; Heip, Jan C.; Schmidt, Piet O.

doi:10.1088/1367-2630/aaaafd

Cited by 6 publications

(6 citation statements)

References 4 publications

(8 reference statements)

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“…Our proposal requires the ability for measuring the fidelity of the full spin-phonon state, which we have not yet demonstrated experimentally. However, this will be possible through a generalization of the protocol discussed in reference [58] (see Methods). Additionally, our proposal can be adversely affected by decoherence present in the experiment.…”

Section: Experimental Implementation In Trapped Ion Simulatorsmentioning

confidence: 99%

“…While the full spin-phonon fidelity measurement has not yet been demonstrated experimentally, such measurement is possible by extending the method in [58] to a multi-qubit system. In particular, we note that this proposal is comprised of a two step measurement, where we first measure the spin degree of freedom.…”

Section: Classical Dynamics and Equations Of Motionmentioning

confidence: 99%

“…The dark state does not scatter phonons, and as such, this measurement will not change the state of the phonons. Next one can proceed to measure the phonon occupation via the portocol described in [58].…”

Section: Classical Dynamics and Equations Of Motionmentioning

confidence: 99%

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Unifying scrambling, thermalization and entanglement through measurement of fidelity out-of-time-order correlators in the Dicke model

Lewis-Swan

Safavi-Naini

Bollinger³

et al. 2019

Nat Commun

216

197

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Scrambling is the process by which information stored in local degrees of freedom spreads over the many-body degrees of freedom of a quantum system, becoming inaccessible to local probes and apparently lost. Scrambling and entanglement can reconcile seemingly unrelated behaviors including thermalization of isolated quantum systems and information loss in black holes. Here, we demonstrate that fidelity out-of-time-order correlators (FOTOCs) can elucidate connections between scrambling, entanglement, ergodicity and quantum chaos (butterfly effect). We compute FOTOCs for the paradigmatic Dicke model, and show they can measure subsystem Rényi entropies and inform about quantum thermalization. Moreover, we illustrate why FOTOCs give access to a simple relation between quantum and classical Lyapunov exponents in a chaotic system without finite-size effects. Our results open a path to experimental use FOTOCs to explore scrambling, bounds on quantum information processing and investigation of black hole analogs in controllable quantum systems.

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Section: Experimental Implementation In Trapped Ion Simulatorsmentioning

confidence: 99%

Section: Classical Dynamics and Equations Of Motionmentioning

confidence: 99%

See 1 more Smart Citation

Unifying scrambling, thermalization and entanglement through measurement of fidelity out-of-time-order correlators in the Dicke model

Lewis-Swan

Safavi-Naini

Bollinger³

et al. 2019

Nat Commun

216

197

View full text Add to dashboard Cite

show abstract

“…The sign between the two parts of the wave function of the Schrödinger cat state is determined by the initial state. By detecting the depletion of motional ground state due to the emergence of the Schrödinger cat state, the successful drive of the transition can be detected on the logic ion [43,62]. Since the transition frequency depends on the molecule's J state, the motional excitation can be used as an indicator for the molecule's internal state.…”

Section: State Detectionmentioning

confidence: 99%

Prospect for precision quantum logic spectroscopy of vibrational overtone transitions in molecular oxygen ions

Wolf,

Heip,

Zawierucha

et al. 2020

Preprint

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Precision spectroscopy has been the driving force for progress of our physical understanding and still is a promising tool for the investigation of new physics. Molecules offer transitions which allow tests that are not possible in atomic systems. However, usually precision spectroscopy of molecules is challenging due to the lack of cycling transitions for state preparation and state detection. For molecular ions, this obstacle can be overcome by quantum logic spectroscopy, where dissipation for state preparation and detection is provided by a co-trapped atomic ion exploiting the shared eigenstates of motion. Here, we propose a full quantum logic spectroscopy scheme for molecular oxygen ions and theoretically investigate the feasibility of quantum logic assisted state detection and preparation. Furthermore, we provide coupling rates for a direct single-photon quadrupole excitation of a vibrational overtone transition that can serve as a sensitive transition for tests of a possible variation of the proton-to-electron mass ratio.

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“…In the end the overlap of the final state with the initial state is measured to infer the induced displacement amplitude. For an initially ground state cooled ion crystal, this can by done by STIRAP or RAP on the redsideband transition [23,24]. A quantum-enhanced version of the experiment could employ squeezed states [25], Fock states [20] or Schrödinger cat states [26] for faster averaging of quantum projection noise.…”

mentioning

confidence: 99%

Quantum sensing of oscillating electric fields with trapped ions

Wolf

Schmidt

2021

Measurement: Sensors

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Corrigendum: Detection of motional ground state population using delayed pulses (2016New J. Phys.18 013037)

Cited by 6 publications

References 4 publications

Unifying scrambling, thermalization and entanglement through measurement of fidelity out-of-time-order correlators in the Dicke model

Unifying scrambling, thermalization and entanglement through measurement of fidelity out-of-time-order correlators in the Dicke model

Prospect for precision quantum logic spectroscopy of vibrational overtone transitions in molecular oxygen ions

Quantum sensing of oscillating electric fields with trapped ions

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