Generation of decoherence-free displaced squeezed states of radiation fields and a squeezed reservoir for atoms in cavity QED

Werlang, T.; Guzmán, R.; Prado, F. O.; Villas-Bôas, C. J.

doi:10.1103/physreva.78.033820

Cited by 26 publications

(23 citation statements)

References 51 publications

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“…An early proposal [Slosser 1989] relied on the so-called 'trapping state conditions' for the micromaser [Rempe 1990], which require a very fine tuning of the parameters and can only be properly achieved in the case of a zero-temperature environment. Reservoirs composed of atoms in combination with external fields have also been proposed to stabilize one-mode squeezed states [Werlang 2008] and two-mode squeezed vacuum entanglement [Pielawa 2007].…”

Section: Proposal To Stabilize Non-classical States Of One-and Two-momentioning

confidence: 99%

Quantum State Engineering and Stabilization

Tombesi¹,

Vitali²

2015

Encyclopedia of Optical and Photonic Engineering, Second Edition

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60-62, Boulevard Saint Michel 75272 PARIS cedex 06 FRANCEiii posons une séquence de pulses qui permettrait de rétablir cette information dans l'état de la cavité. Ceci pourrait prolonger la durée de vie d'un qubit de presque un ordre de grandeur. Le grand intérêt de cette proposition est double. Premièrement, elle nécessite un nombre de composants physiques minimal: seulement un qubit fortement couplé (dans le régime dispersif) à un mode de la cavité. Deuxièmement, nous avons des séquences de pulses pour l'encodage d'un qubit dans la cavité, la correction de l'état de la cavité suite à un saut quantique, et enfin le décodage de l'état de la cavité vers l'état du qubit.iv Abstract This thesis tackles the problem of preparing and stabilizing highly non classical states of quantum systems, as well as identifying their Hamiltonian. Most of the methods we propose were developed in close collaboration with experimentalists. Some of these ideas have already been implemented in the laboratory.First, we derived an observability result for Hamiltonian identification. We consider a typical setting in ultra-fast quantum control experiments where an observable is measured after a system (e.g a cloud of atoms) has interacted with a controlled electric field. We thus pose the problem of whether we can find a set of controls which would provide sufficient information to reconstruct the dipole moment matrix. We prove that under certain conditions, we can find controls (in analogy with Ramsey interferometry) which make the dipole moment matrix locally observable. The rest of the thesis is devoted to quantum state engineering and stabilization.The second contribution is on ensemble control. We propose a robust control which performs any state permutation on an ensemble of quantum ladder systems. The strength of this result which is based on adiabatic theory, is that this single control performs the same permutation on an ensemble of different systems. The results are based on a detailed asymptotic mathematical analysis giving error bounds.Third, we address the problem of quantum state stabilization by reservoir engineering in the context of cavity quantum electrodynamics (QED). We describe an experiment where flying atoms successively interact with one or two cavity modes. We find a control to apply during each atom-cavity interaction which would drive and stabilize the cavity modes close to a predefined non-classical target state. In particular, we are able to stabilize an entangled state which would lead to a violation of Bell's inequality for arbitrarily large times. The proposal is supported by numerical simulations and a first mathematical convergence analysis, where the Hilbert space is infinite dimensional (no truncation to a finite number of photons).Fourth, we introduce a control which performs quantum state preparation in the context of Josephson circuits (also called circuit QED). We consider one superconducting qubit coupled to a microwave resonator and describe a sequence of pulses which would generate any superpositio...

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Section: Proposal To Stabilize Non-classical States Of One-and Two-momentioning

confidence: 99%

Quantum State Engineering and Stabilization

Tombesi¹,

Vitali²

2015

Encyclopedia of Optical and Photonic Engineering, Second Edition

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“…In principle several schemes for producing squeezed states have been analyzed, such as parametric amplifiers [9], four-wave mixing [10], resonance fluorescence [11], etc. Many other attempts have been made to find new squeezed states and new form of squeezing operators so that new experimental implementation could be proposed [12,13].…”

Section: Introductionmentioning

confidence: 99%

The New Multipartite Squeezing Operator and Some of its Properties

Cui

2015

Int J Theor Phys

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In this paper, we introduce a pair of mutually conjugate multipartite entangled state representations for defining the squeezing operator of entangled multipartite S n (λ) which involves an n-mode bosonic operator realization of the SU(1,1) Lie algebra. This operator squeezes the multipartite entangled state in a natural way. We discuss the transform properties of a j and a † j under the operation of S n (λ) and derive the interaction Hamiltonian which can generate such an evolution. In addition, the corresponding multipartite squeezed vacuum state |λ is obtained. Based on this, the variances of the n-mode quadratures in |λ are evaluated and the violation of the Bell inequality for |λ is examined by using the formalism of Wigner representation.

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“…Notice that, very remarkably, such an entropic bound holds for any unitary operation and any input state, not necessarily Gaussian. One may also show [20] that the impossibility of lowering the system entropy below the environment's value is maintained if one extends the class of thermal operations to include single-mode squeezed baths, which are not encountered spontaneously in nature but may be engineered under certain controlled conditions [25][26][27][28].…”

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confidence: 99%

Gaussian Thermal Operations and The Limits of Algorithmic Cooling

et al. 2020

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The resource theory of thermal operations allows one to investigate the ultimate possibilities of quantum states and of nanoscale thermal machines. Whilst fairly general, these results do not apply to continuous variable systems and do not take into account that, in many practically relevant settings, system-environment interactions are effectively bilinear. Here we tackle these issues by focusing on Gaussian quantum states and channels. We provide a complete characterisation of the most general Gaussian thermal operations acting on an arbitrary number of bosonic modes, which turn out to be all embeddable in a Markovian dynamics, and derive a simple geometric criterion establishing necessary and sufficient conditions for state transformations under such operations in the single-mode case, encompassing states with nonzero coherence in the energy eigenbasis (i.e., squeezed states). Our analysis leads to a no-go result for the technologically relevant task of algorithmic cooling: We show that it is impossible to reduce the entropy of a system coupled to a Gaussian environment below its own or the environmental temperature, by means of a sequence of Gaussian thermal operations interspersed by arbitrary (even non-Gaussian) unitaries. These findings establish fundamental constraints on the usefulness of Gaussian resources for quantum thermodynamic processes.

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Generation of decoherence-free displaced squeezed states of radiation fields and a squeezed reservoir for atoms in cavity QED

Cited by 26 publications

References 51 publications

Quantum State Engineering and Stabilization

Quantum State Engineering and Stabilization

The New Multipartite Squeezing Operator and Some of its Properties

Gaussian Thermal Operations and The Limits of Algorithmic Cooling

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