Journeys from quantum optics to quantum technology

Barnett, Stephen M.; Beige, Almut; Ekert, Artur; Garraway, B. M.; Keitel, Christoph H.; Kendon, Viv; Lein, Manfred; Milburn, G. J.; Moya‐Cessa, H.; Murao, Mio; Pachos, Jiannis K.; Palma, G. Massimo; Paspalakis, Emmanuel; Phoenix, Simon J. D.; Piraux, Bernard; Plenio, Martin B.; Sanders, Barry C.; Twamley, J.; Vidiella-Barranco, A.; Kim, M. S.

doi:10.1016/j.pquantelec.2017.07.002

Cited by 49 publications

(41 citation statements)

References 313 publications

(381 reference statements)

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“…In summary, the atomic inversion can give us some information about the initial state of the field and, together with entropy, can tell us if the initial field was in a pure state or in a mixed state [ 15 , 16 ].…”

Section: Introductionsupporting

confidence: 86%

The von Neumann Entropy for Mixed States

Anaya-Contreras

Moya‐Cessa

Zúñiga-Segundo

2019

Entropy

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The Araki-Lieb inequality is commonly used to calculate the entropy of subsystems when they are initially in pure states as this forces the entropy of the two subsystems to be equal after the complete system evolves. Then, it is easy to calculate the entropy of a large subsystem by finding the entropy of the small one. To the best of our knowledge, there does not exist a way of calculating the entropy when one of the subsystems is initially in a mixed state. We show here that it is possible to use the Araki-Lieb inequality in this case and find the von Neumann entropy for the large (infinite) system. We show this in the two-level atom-field interaction. arXiv:1804.09698v1 [quant-ph]

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Section: Introductionsupporting

confidence: 86%

The von Neumann Entropy for Mixed States

Anaya-Contreras

Moya‐Cessa

Zúñiga-Segundo

2019

Entropy

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“…Note that the operatorŜ xy is a product of squeeze operators [38][39][40][41][42] in x and y. We can prove that aŝ…”

Section: Two Coupled Time-dependent Harmonic Oscillatorsmentioning

confidence: 89%

Solution to the Time-Dependent Coupled Harmonic Oscillators Hamiltonian with Arbitrary Interactions

et al. 2019

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We show that by using the quantum orthogonal functions invariant, we found a solution to coupled time-dependent harmonic oscillators where all the time-dependent frequencies are arbitrary. This system may be found in many applications such as nonlinear and quantum physics, biophysics, molecular chemistry, and cosmology. We solve the time-dependent coupled harmonic oscillators by transforming the Hamiltonian of the interaction using a set of unitary operators. In passing, we show that N time-dependent and coupled oscillators have a generalized orthogonal functions invariant from which we can write a Ermakov–Lewis invariant.

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“…After substituting the proposed solution (7) above in the Schrödinger equation, we obtain the corresponding set of coupled differential equations for the amplitudes C i,n (t)…”

Section: Tavis-cummings Model: An Analytical Solution For Different Cmentioning

confidence: 99%

“…With the recent advances of quantum technologies [6,7], the investigation of the influence of the surrounding environments on the evolution of quantum systems became particularly important. Even if the environment has a small number of degrees of freedom, one expects that those unwanted couplings will affect in some way the quantum properties of the system of interest, as well as bring memory effects.…”

Section: Introductionmentioning

confidence: 99%

A simple model for a minimal environment: the two-atom Tavis–Cummings model revisited

Deçordi

Vidiella-Barranco

2018

Journal of Modern Optics

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Individual quantum systems may be interacting with surrounding environments having a small number of degrees of freedom. It is therefore relevant to understand the extent to which such small (but uncontrollable) environments could affect the quantum properties of the system of interest.Here we discuss a simple system-environment toy model, constituted by a two-level atom (atom 1) interacting with a single mode cavity field. The field is also assumed to be (weakly) coupled to an external noisy subsystem, the small environment, modeled as a second two-level atom (atom 2). We investigate the action of the minimal environment on the dynamics of the linear entropy (state purity) and the atomic dipole squeezing of atom 1, as well as the entanglement between atom 1 and the field. We also obtain the full analytical solution of the two atom Tavis-Cummings model for both arbitrary coupling strengths and frequency detunings, necessary to analyze the influence of the field-environment detuning on the evolution of the above mentioned quantum properties. For complementarity, we discuss the role of the degree of mixedness of the environment by analyzing the time-averaged linear entropy of atom 1.1

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Journeys from quantum optics to quantum technology

Cited by 49 publications

References 313 publications

The von Neumann Entropy for Mixed States

The von Neumann Entropy for Mixed States

Solution to the Time-Dependent Coupled Harmonic Oscillators Hamiltonian with Arbitrary Interactions

A simple model for a minimal environment: the two-atom Tavis–Cummings model revisited

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