Nonlinear coherent loss for generating non-classical states

Mikhalychev, A.; Mogilevtsev, D.; Kilin, S. Ya.

doi:10.1088/1751-8113/44/32/325307

Cited by 8 publications

(14 citation statements)

References 29 publications

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“…For example, it was recently used in practice to protect the highly entangled initial polarization states of photons from dephasing in optical fibers [21]. Moreover, combining coupling to the same reservoir with the nonlinear interaction between quantum systems, it is possible to produce nonlinear loss generating robustly a wide variety of non-classical states [22][23][24]. By adding external driving, a generated non-classical state can be preserved in the presence of an arbitrarily large linear loss [25].…”

Section: Introductionmentioning

confidence: 99%

Quantum tight-binding chains with dissipative coupling

et al. 2015

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We present a one-dimensional tight-binding chain of two-level systems coupled only through common dissipative Markovian reservoirs. This quantum chain can demonstrate anomalous thermodynamic behavior contradicting Fourier law. Population dynamics of individual systems of the chain is polynomial with the order determined by the initial state of the chain. The chain can simulate classically hard problems, such as multi-dimensional random walks. OPEN ACCESS RECEIVED

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Section: Introductionmentioning

confidence: 99%

Quantum tight-binding chains with dissipative coupling

et al. 2015

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“…Nonlinear coherent states [68,69] may be generated in ion traps [14] and in this way realization of a quantum-mechanical counterpart of nonlinear optics has been achieved. For an appropriate laser-beam propagation geometry which affects only the dynamics in one vibrational mode of frequency ν, in the rotating-wave approximation, the Hamiltonian describing the effect of the Raman laser drive on the dynamics of the vibrational mode is given by [13] H = Ω 2ĝ k (n)(iηa) k + H.C.,…”

Section: Nonlinear Coherent States and Their Modeling In Photonic Latmentioning

confidence: 99%

Ion–laser interactions: The most complete solution

Moya‐Cessa¹,

Soto‐Eguibar²,

Vargas-Martínez³

et al. 2012

Physics Reports

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Trapped ions are considered one of the best candidates to perform quantum information processing. By interacting them with laser beams they are, somehow, easy to manipulate, which makes them an excellent choice for the production of nonclassical states of their vibrational motion, the reconstruction of quasiprobability distribution functions, the production of quantum gates, etc. However, most of these effects have been produced in the so-called low intensity regime, this is, when the Rabi frequency (laser intensity) is much smaller than the trap frequency. Because of the possibility to produce faster quantum gates in other regimes it is of importance to study this system in a more complete manner, which is the motivation for this contribution. We start by studying the way ions are trapped in Paul traps in and review the basic mechanisms of trapping. Then we show how the problem may be completely solved for trapping states; i.e., we find (exact) eigenstates of the full Hamiltonian. We show how in the low intensity regime Jaynes-Cummings and anti-Jaynes-Cummings interactions may be obtained, without using the rotating wave approximation and analyze the medium and high intensity regimes were dispersive Hamiltonians are produced. The traditional approach (low intensity regime) is also studied and used for the generation of non-classical states of the vibrational of the vibrational wavefunction. In particular, we show how to add and subtract vibrational quanta to an initial state, how to produce specific superpositions of number states and how to generate NOON states for the two-dimensional vibration of the ion. It is also shown how squeezing may be measured. The time dependent problem is studied by using Lewis-Ermakov methods, we give a solution to the problem when the time dependence of the trap is considered and also analyze an specific (artificial) time dependence that produces squeezing of the initial vibrational wave function. A way to mimic the ion-laser interaction via classical optics is also introduced.

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“…In general lines, our proposal of QBE is based on a kind of nonlinear (two-mode) dissipation to the reservoir. Similar models [27][28][29][30][31] have been used recently.…”

Section: Introductionmentioning

confidence: 99%

“…by engineering the mechanisms of dissipation and decoherence. In this direction, during a relatively short period of time, many interesting theoretical and experimental studies proved that this strategy works well and can be very efficient for various physical systems [4,[20][21][22][23][24][25][26][27][28][29][30][31]. In this order of ideas, we present here a new example, applying efficiently the principle of QBE for the studied model, as will be explained in detail in the Section 3.…”

mentioning

confidence: 99%

“…In general lines, our proposal of QBE is based on a kind of nonlinear (two-mode) dissipation to the reservoir. Similar models [27][28][29][30][31] have been used recently.In the present paper we investigate a theoretical model of a cavity network involving photonic Kerr non-linear effect, which provides the generation of MES in such a setup. Particularly, by a non-adiabatic evolution of the system from its ground state, possessing a very small fraction of entanglement, the preparation of MES is possible, as shown via the fidelity and negativity measures.…”

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Generation and protection of a maximally entangled state between many modes in an optical network with dissipation

2016

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We present a three-cavity network model with two modes in each cavity and a non-linear medium that generates a Kerr type interaction via both self-phase and cross-phase modulation processes. We have two main goals. The first one is to generate a multipartite Maximally Entangled State (MES), starting from the ground state of the system. We address the problem both without and with dissipation. Secondly, we want to protect the MES from decoherence. While studying the MES, we analyze different bipartite and multipartite entanglement measures. We also study the effect of an Avoided Level Crossing (ALC) identified by the critical behavior of the entanglement measures, thus showing that the quantum correlations act as a witness for such phenomena. Our findings provide the quantum tools to perform the operation of generation and protection of a maximally entangled state in a cavity QED environment.

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Nonlinear coherent loss for generating non-classical states

Cited by 8 publications

References 29 publications

Quantum tight-binding chains with dissipative coupling

Quantum tight-binding chains with dissipative coupling

Ion–laser interactions: The most complete solution

Generation and protection of a maximally entangled state between many modes in an optical network with dissipation

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