Quantum simulation of driven para-Bose oscillators

Alderete, C. Huerta; Rodríguez-Lara, B. M.

doi:10.1103/physreva.95.013820

Cited by 32 publications

(15 citation statements)

References 26 publications

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“…This model is the two-phonon interaction analog of the so-called cross-cavity quantum Rabi model 25 that has been used to propose the quantum simulation of para-oscillators in trapped ions 26,27 . Single-mode, two-phonon interactions in trapped ions have been recently proposed to simulate interaction-induced spectral collapse 28 .…”

Section: Resultsmentioning

confidence: 99%

Engineering SU(1, 1) ⊗ SU(1, 1) vibrational states

Alderete

Rodrı́guez

Rodríguez-Lara

2019

Sci Rep

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We propose an ideal scheme for preparing vibrational SU(1, 1) ⊗ SU(1, 1) states in a two-dimensional ion trap using red and blue second sideband resolved driving of two orthogonal vibrational modes. Symmetric and asymmetric driving provide two regimes to realize quantum state engineering of the vibrational modes. In one regime, we show that time evolution synthesizes so-called SU(1, 1) Perelomov coherent states, that is separable squeezed states and their superposition too. The other regime allows engineering of lossless 50/50 SU(2) beam splitter states that are entangled states. These ideal dynamics are reversible, thus, the non-classical and entangled states produced by our schemes might be used as resources for interferometry.

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Section: Resultsmentioning

confidence: 99%

Engineering SU(1, 1) ⊗ SU(1, 1) vibrational states

Alderete

Rodrı́guez

Rodríguez-Lara

2019

Sci Rep

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“…In particular, parity or reflection based deformations [3] became of interest as the statistical properties arising from these represent so-called para-particles [4] although, in time, these were proven infeasible to detect in nature [5]. Recently, the quantum simulation of para-particles has fueled research in diverse avenues, such as fractional quantum Hall effect [6,7], Majorana particle simulation [8] and para-particle simulation [9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Optical non-Hermitian para-Fermi oscillators

2020

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We present a proposal for the optical simulation of para-Fermi oscillators in arrays of coupled waveguides. We use a representation that arises as a deformation of the su(2) algebra. This provides us with a set of chiral and a zero-energy-like normal modes. The latter is its own chiral pair and suggest the addition of controlled losses/gains following a pattern defined by parity. In these non-Hermitian para-Fermi oscillators, the analog of the zero-energy mode presents the largest effective loss/gain and it is possible to tune the system to show sequences of exceptional points and varying effective losses/gains. These arrays can be used for mode suppression or enhancement depending on the use of loss or gain, in that order. We compare our coupled mode theory predictions with finite element method simulations to good agreement.

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“…Furthermore, it is valuable noting that because para-Bose systems reveal significant features in quantum optics, [24][25][26][27] it is also plausible to establish a connection between the quantum states of interest and para-Bose oscillators. [28,29] Considering the parity op-…”

Section: Introductionmentioning

confidence: 99%

“…Furthermore, it is valuable noting that because para‐Bose systems reveal significant features in quantum optics, [ 24–27 ] it is also plausible to establish a connection between the quantum states of interest and para‐Bose oscillators. [ 28,29 ] Considering the parity operator

\hat{R} = {(- 1)}^{\overset{n}{true}}

align with

f false(\overset{n}{true} false) = \sqrt{false(\overset{n}{true} + (p - 1) [1 - {(- 1)}^{\overset{n}{true}}] / 2 false) / \hat{n}}

, with p as the para‐Bose order, one is able to see that the f ‐deformed bosonic operators

\hat{A} = \hat{a} f false(\overset{n}{true} false)

and

{\overset{A}{true}}^{†} = f false(\overset{n}{true} false) {\overset{a}{true}}^{†}

, and the parity operator

\overset{R}{true}

satisfy the Wigner–Heisenberg algebra, which implies the algebra of the para‐Bose systems.…”

Section: Introductionmentioning

confidence: 99%

Generalized Photon Added and Subtracted f‐Deformed Displaced Fock States

Faghihi

2020

Annalen der Physik

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In this paper, by making use of the nonlinear coherent states approach, the generalized photon added and subtracted f-deformed displaced Fock states are introduced. In other words, a natural link between photon added and subtracted displaced Fock states and nonlinear coherent states associated with nonlinear oscillator algebra is obtained. It is found that various kinds of nonclassical states can be generated by adopting appropriately controlling parameters in both linear and nonlinear regimes. Moreover, examining some of the most nonclassical properties such as Mandel's Q parameter, different types of squeezing, namely, quadrature, amplitude-squared and phase entropic squeezing, and Vogel's characteristic function, the nonclassicality features of the considered quantum states of interest are studied. Furthermore, to obtain the degree of quantum coherence, the relative entropy of coherence is investigated. Indeed, the nonclassicality aspects of the states obtained have been numerically studied to understand the roles of deformation functions, photons added and subtracted, and photon number occupied in the Fock state on physical properties. It is demonstrated that the depth and the domain of the nonclassicality features of the system can properly be controlled by selecting the suitable parameters.

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Quantum simulation of driven para-Bose oscillators

Cited by 32 publications

References 26 publications

Engineering SU(1, 1) ⊗ SU(1, 1) vibrational states

Engineering SU(1, 1) ⊗ SU(1, 1) vibrational states

Optical non-Hermitian para-Fermi oscillators

Generalized Photon Added and Subtracted f‐Deformed Displaced Fock States

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