Entangled multimode spin coherent states of trapped ions

Maleki, Yusef; Maleki, Alireza

doi:10.1364/josab.35.001211

Cited by 19 publications

(15 citation statements)

References 43 publications

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“…Spin-coherent states belong to a class of generalised coherent states that allow for different displacement operators, in this case of the form

where

are the spin-raising and lowering operators [ 52 , 53 , 71 ]. Proposals for the generation of binomial states have been developed in atomic systems [ 56 , 57 ] and they have been suggested as analogues to coherent states for rotational systems [ 73 , 74 ]. These examples indicate that binomial states are of natural physical interest.…”

Section: Resultsmentioning

confidence: 99%

“…Binomial states can be viewed as analogues of coherent states for finite dimensional systems rather than infinite dimensional oscillators [ 52 , 53 ], leading to highly non-classical properties [ 54 , 55 ]. While binomial states are harder to produce in lab settings, there have been proposals [ 56 , 57 ]. The derived equality effectively generalises the coherent state Crooks equality of Holmes et al [ 40 ], incorporating finite sized effects and leading to the coherent state equality in the appropriate limit.…”

Section: Introductionmentioning

confidence: 99%

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Quantifying Athermality and Quantum Induced Deviations from Classical Fluctuation Relations

Holmes

Mingo

Chen

et al. 2020

Entropy

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In recent years a quantum information theoretic framework has emerged for incorporating nonclassical phenomena into fluctuation relations. Here we elucidate this framework by exploring deviations from classical fluctuation relations resulting from the athermality of the initial thermal system and quantum coherence of the system's energy supply. In particular we develop Crooks-like equalities for an oscillator system which is prepared either in photon added or photon subtracted thermal states and derive a Jarzynski-like equality for average work extraction. We use these equalities to discuss the extent to which adding or subtracting a photon increases the informational content of a state thereby amplifying the suppression of free energy increasing process. We go on to derive a Crooks-like equality for an energy supply that is prepared in a pure binomial state, leading to a non-trivial contribution from energy and coherence on the resultant irreversibility. We show how the binomial state equality fits in relation to a previously derived coherent state equality and offers a richer feature-set.

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“…Spin-coherent states belong to a class of generalised coherent states that allow for different displacement operators, in this case of the form

where

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Quantifying Athermality and Quantum Induced Deviations from Classical Fluctuation Relations

Holmes

Mingo

Chen

et al. 2020

Entropy

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show abstract

“…The operator in Eq. ( 1), acting on the ground state of the Dicke basis, results in the spin coherent state [25,26] |θ, ϕ, j = exp […”

Section: Spin Coherent States For Phase Estimationmentioning

confidence: 99%

Quantum phase estimations with spin coherent states superposition

Maleki

2021

Preprint

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The quantum metrological performance of spin coherent states superposition is considered, and conditions for measurements with the Heisenberg-limit (HL) precision are identified. It is demonstrated that the choice of the parameter-generating operator can lead to physically different estimation outcomes. In particular, closed-form analytical descriptions for the performance of spin cat states are derived. These findings show the routes to careful control of parameters necessary for achieving HL precision and provide insightful information on the geometry of the specific coherent state superposition and its relevance to the performance of the states for parameter estimations.

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“…The squeezed states linked to the 3D harmonic oscillator can be built as eigenstates of linear contribution of ladder operators which are associated to the generalized Heisenberg algebra [87,88]. Multimode macroscopic states consisting of a superposition of spin coherent states that are generated in a trapped ion system are introduced in [89].…”

Section: Generalized Squeezed States Applications For Ion Trapsmentioning

confidence: 99%

Quasienergy operators and generalized squeezed states for systems of trapped ions

Mihalcea

2021

Preprint

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We investigate collective many-body dynamics for a combined (Paul and Penning) trap• The solution of the time-dependent Schrodinger equation is expressed by means of an evolution operator. In order for the system to be stable, the associated quasienergy spectrum has to be discrete. Collective motion is characterized by means of collective variables, and we find the equilibrum points for a 3D quadrupole ion trap (QIT)• We build the coherent states associated to the system using the generators of the Lie algebra for the symplectic group SL(2, R).• We consider a system consisting of identical two-level atoms that undergoes interaction with laser radiation. We infer the Hamilton function for the Dicke model in case of trapped ions. We model the optical system as a HO interacting with an external laser field. Such an approach enables one to build CS by means of the group theory.

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Entangled multimode spin coherent states of trapped ions

Cited by 19 publications

References 43 publications

Quantifying Athermality and Quantum Induced Deviations from Classical Fluctuation Relations

Quantifying Athermality and Quantum Induced Deviations from Classical Fluctuation Relations

Quantum phase estimations with spin coherent states superposition

Quasienergy operators and generalized squeezed states for systems of trapped ions

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