Generation of even and odd coherent states in a competitive two-photon process

Gerry, Christopher C.; Hach, Edwin E.

doi:10.1016/0375-9601(93)90756-p

Cited by 101 publications

(27 citation statements)

References 16 publications

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“…The first task is to create the ECS [38], and for this we will use the method proposed by Gerry et al [27]. We take for the lower input an even cat state [39][40][41][42], which contains only even numbers of photons: Fig. 1 we then have the ECS:…”

Section: Introductionmentioning

confidence: 99%

Attaining subclassical metrology in lossy systems with entangled coherent states

2014

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Quantum mechanics allows entanglement enhanced measurements to be performed, but loss remains an obstacle in constructing realistic quantum metrology schemes. However, recent work has revealed that entangled coherent states (ECSs) have the potential to perform robust subclassical measurements [J. Joo et al., Phys. Rev. Lett. 107, 083601 (2011)]. Up to now no read-out scheme has been devised that exploits this robust nature of ECSs, but we present here an experimentally accessible method of achieving precision close to the theoretical bound, even with loss. We show substantial improvements over unentangled classical states and highly entangled NOON states for a wide range of loss values, elevating quantum metrology to a realizable technology in the near future.

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Section: Introductionmentioning

confidence: 99%

Attaining subclassical metrology in lossy systems with entangled coherent states

2014

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“…There have been several proposals for slowing down the fast decoherence process in quantum systems [7][8][9][10][11]. Most of them are connected with Zurek's idea [2] that in the course of relaxation the quantum system is projected into a preferable basis ("pointer basis") formed via "quantum system -environment" interactions.…”

Section: External Feedback and The Decoherence Problemmentioning

confidence: 99%

Quantum Instabilities and Decoherence Problem

Kilin¹,

Horoshko²,

Shatokhin³

1998

Acta Phys. Pol. A

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A decoherence problem is discussed by means of quantum continuous measurement theory. It is shown that the conditional state of quantum system interacting with a bath preserves its initial purity. In this presentation decoherence arises as a result of averaging over the stochastic times of reduction moments ("clicks"). A method based on external phase feedback is proposed to slow down the decoherence of field superposition state in an open optical cavity. It is also shown that an atom placed inside the optical cavity plays a role of internal self-organized positive feedback between field and atom, which leads to an exponential increase in the mean dipole moment of the atom for the field initially prepared in a superposition of coherent states, i.e. to quantum instability.

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“…(6.17), and Let us finish this discussion by a brief review of possibilities for the generation of the SU(1,1) IS. Gerry and Hach [70] demonstrated a possibility to generate coherent superposition states for the long-time evolution of the competition between two-photon absorption and two-photon parametric processes for a special initial state. This method can be also applied to the production of the SU(1,1) IS more general than the coherent superposition states.…”

Section: Squeezing and Displacement Of The Su(11) Intelligent Stmentioning

confidence: 99%

Two-Photon Algebra Eigenstates: A Unified Approach to Squeezing

Brif

1996

Annals of Physics

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We use the concept of the algebra eigenstates that provides a unified description of the generalized coherent states (belonging to different sets) and of the intelligent states associated with a dynamical symmetry group. The formalism is applied to the two-photon algebra and the corresponding algebra eigenstates are studied by using the Fock-Bargmann analytic representation. This formalism yields a unified analytic approach to various types of singlemode photon states generated by squeezing and displacing transformations.

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Generation of even and odd coherent states in a competitive two-photon process

Cited by 101 publications

References 16 publications

Attaining subclassical metrology in lossy systems with entangled coherent states

Attaining subclassical metrology in lossy systems with entangled coherent states

Quantum Instabilities and Decoherence Problem

Two-Photon Algebra Eigenstates: A Unified Approach to Squeezing

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