Squeezing in multi-mode nonlinear optical state truncation

Said, Ressa S.; Wahiddin, Mohamed Ridza; Umarov, Bakhram

doi:10.1016/j.physleta.2007.01.042

Cited by 7 publications

(6 citation statements)

References 35 publications

(33 reference statements)

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“…The first of them describes tunneling of particles between neighboring sites of lattices, whereas the second one represents an interaction between bosons located at the same well. What is worth noting, such kind of Hamiltonian also describes models of quantum nonlinear scissors [14][15][16] which involve Kerr-like nonlinear oscillators. Quantum scissors systems can lead to the generation of the states defined in finite-dimensional Hilbert space-we observe there photon (or phonon) blockade effect [17][18][19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Quantum steering and entanglement in three-mode triangle Bose–Hubbard system

Kalaga

Leoński

Szczȩśniak

2017

Quantum Inf Process

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We consider the possibility of generation steerable states in Bose-Hubbard system composed of three interacting wells in the form of a triangle. We show that although our system still fulfills the monogamy relations, the presence of additional coupling which transforms a chain of wells onto triangle gives a variety of new possibilities for the generation of steerable quantum states. Deriving analytical formulas for the parameters describing steering and bipartite entanglement, we show that interplay between two couplings influences quantum correlations of various types. We compare the time evolution of steering parameters to those describing bipartite entanglement and find the relations between the appearance of maximal entanglement and disappearance of steering effect.

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Section: Introductionmentioning

confidence: 99%

Quantum steering and entanglement in three-mode triangle Bose–Hubbard system

Kalaga

Leoński

Szczȩśniak

2017

Quantum Inf Process

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“…Kerr-like systems seems to be important also for production of quantum correlation and maximally entangled stated. They were discussed, for instance, in [44][45][46][47].…”

Section: Kerr Nonlinear Resonator Coupled With Thermal Reservoirmentioning

confidence: 99%

Excitations of photon-number states in Kerr nonlinear resonator at finite temperatures

Hovsepyan¹,

Kryuchkyan

2015

Eur. Phys. J. D

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We investigate temperature reservoir effects in a lossy Kerr nonlinear resonator considering selective excitation of ooscillatory mode driven by a sequence of Gaussian pulses. In this way, we analyze time-dependent populations of photon-number states and quantum statistics on the base of the second-order photon correlation function in one-photon and two-photon transitions. The effects coming from thermal reservoirs are interesting for performing more realistic approach to generate Fock states and for study of phenomena connecting quantum engineering and temperature. We also study the role of pulse-shape effects for selective excitation of oscillatory mode.

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“…For the NQS scheme with a linear interaction between the Kerr-like oscillators the degree of squeezing in each mode was also studied. In (Said, Wahiddin, and Umarov, 2007) the Authors estimated squeezing via the quadrature variances for the field in k-mode as:…”

Section: Nonlinear Coupler With Linear Interactionmentioning

confidence: 99%

“…From the considerations given in (Said, Wahiddin, and Umarov, 2007) it turns out that while the system is not externally driven by a coherent field (α = β = 0) the field generated by NQS device is not squeezed.…”

Section: Nonlinear Coupler With Linear Interactionmentioning

confidence: 99%

“…The presence of an additional coupling with external fields leads to the possibility of generation of other truncated three-mode states. As for the two-mode state truncation method described in (Miranowicz and Leoński, 2006) there is also a possibility of observing squeezed light produced in NQS device for truncating three-mode states (Said, Wahiddin, and Umarov, 2007). For the latter, when the external driving field is present, squeezing can be observed.…”

Section: Nqs Devices and Three-mode Statesmentioning

confidence: 99%

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Quantum Scissors – Finite-Dimensional States Engineering

Leoński

Kowalewska-Kudłaszyk

2011

Progress in Optics

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This work discusses quantum states defined in a finite-dimensional Hilbert space. In particular, after the presentation of some of them and their basic properties the work concentrates on the group of the quantum optical models that can be referred to as quantum optical scissors. Such "devices" can generate on their outputs states that are finite-dimensional, and simultaneously use for such preparation quantum states that are defined in the infinity-dimensional space. The work concentrates on two groups of models: the first one, comprising linear elements and the second one -models for which optical, Kerr-like nonlinear elements were applied. IntroductionProblems of quantum optical states engineering have attracted remarkable interest in last years. Various concepts of such states and methods of their production and manipulation have been presented in numerous papers. They have diverse applications in atomic and molecular, solid state and nano-systems physics, and also in the quantum information theory. The latter have recently given a stimulating pulse for the investigation of the states defined in finite-dimensional Hilbert space. However, one should keep in mind that the general idea of such states was born much earlier. In particular, Radclife (Radcilffe, 1971) and Arecchi et.al (Arecchi, Courtens, Gilmore, and Thomas, 1972) proposed the atomic (or spin) coherent states definition for the optical models involving atomic systems interacting with transverse 1 arXiv:1312.0118v1 [quant-ph] 30 Nov 2013 electromagnetic field. Those states are finite-dimensional analogues of the coherent states proposed by Glauber (Glauber, 1963b,a) and play a crucial role in the quantum optics theory. Finite-dimensional coherent states have been discussed in various aspects -for example see (the references quoted therein.Another milestone in the development of the idea of finite-dimensional states was the proposal of the phase-states given by Pegg and Barnett in Barnett, 1988, 1989). The key idea of the definition they proposed is to calculate the state and all physical quantities in the (s + 1)-dimensional space and then, to take the limit s → ∞. These states are not the subject of this paper and we shall concentrate on the quantum scissors systems, however, they are interesting enough to be mentioned here. For instance, in (Vogel, Akulin, and Schleich, 1993) the model involving atoms injected into a cavity was discussed as a potential source of the phase-states. The Pegg-Burnett formalism is important as a method of defining other finite-dimensional states. As it will be presented, some of the finite-dimensional states are defined in an analogous way to the phase-states, i.e. it shall be assumed that the space is finite-dimensional and within such a space all operators and desired states are defined. Such states we will referred to as finite dimensional states. Another approach to the states definiton which is presented in this paper, is similar to that proposed in Zhou, 1993, 1994). For this case the expansion of the discussed...

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Squeezing in multi-mode nonlinear optical state truncation

Abstract: In this paper, we show that multi-mode qubit states produced via nonlinear optical state truncation driven by classical external pumpings exhibit squeezing condition. We restrict our discussions to the two and three-mode cases.

Cited by 7 publications

References 35 publications

Quantum steering and entanglement in three-mode triangle Bose–Hubbard system

Quantum steering and entanglement in three-mode triangle Bose–Hubbard system

Excitations of photon-number states in Kerr nonlinear resonator at finite temperatures

Quantum Scissors – Finite-Dimensional States Engineering

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