Lop-sided Raman–Nath diffraction in PT-antisymmetric atomic lattices

Shui, Tao; Yang, Wenxing; Li, Ling; Wang, Xin

doi:10.1364/ol.44.002089

Cited by 35 publications

(13 citation statements)

References 26 publications

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“…Due to this reason the kinetic-energy term is not included in the Hamiltonian (expression (1)) and the probability corresponding to the centre-of-mass wave function ψ CM of the atom can be considered as stationary. Viability of such approximation is confirmed in the formation of atomic gratings at Raman-Nath diffraction regime 38,39 .…”

Section: Theoretical Formulationmentioning

confidence: 80%

Optical absorption microscopy of localized atoms at microwave domain: two-dimensional localization based on the projection of three-dimensional localization

Dutta¹,

Panchadhyayee

Bayal³

et al. 2020

Sci Rep

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A new approach for achieving two-dimensional (2D) atom localization microscopy based on the projection of three-dimensional (3D) localization in the plane of the detector is described in the present work. Spatial variation of the position-dependent 2D-localization pattern in the xy-plane is obtained with the shifting of the position of the detector along the z-axis under the parallel-and cross-axis configurations of the standing-wave fields. An attempt is made to study the 2D-localization characteristics in the specific parametric conditions for which the localization structures evolve with different shapes eventually leading to 100% detection probability of the atom both in the subwavelength and sub-half-wavelength regimes. The scope of tuning the cross-axis configuration over a wide range adds novelty and robustness to this model. Apart from the 2D-localization, various localization patterns with eight-to single-peak structures appear as interesting outcomes through the efficient manipulation of control parameters in the study of one-dimensional (1D) atom localization. The application of the traveling-wave field or its equivalent appears to be unique in achieving high-precision localization with maximal probability (100%) in both the 1D and 2D field-configuration schemes. Proper tuning of the traveling wave accompanied by the standing wave in the 1D scheme results in the singlepeak localization in the sub-half-wavelength range. As a whole, the present work seems to be very much efficient for high-precision optical lithography.

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Section: Theoretical Formulationmentioning

confidence: 80%

Optical absorption microscopy of localized atoms at microwave domain: two-dimensional localization based on the projection of three-dimensional localization

Dutta¹,

Panchadhyayee

Bayal³

et al. 2020

Sci Rep

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show abstract

“…Both solutions in Equations (19) and (20) have the same eigenvalues ν 1,2 = 0 and ν 3,4 = ±i2 √ 2κ in the stability analysis, i.e., no amplification of amplitude fluctuations occur.…”

Section: Stationary States and Their Stabilitymentioning

confidence: 99%

“…In Figure 3, we compare the state evolution around a stationary state with that occurring around a non-stationary state. As a stationary state, we consider the state given in Equation (19). The analyzed non-stationary state evolves from the state that differs from that in Equation (19) in the phase ψ init = 0:…”

Section: Quantum Properties Of the Evolving Statesmentioning

confidence: 99%

“…The simplest model of two coupled nonlinear oscillator modes has been generalized to include more oscillators in various configurations. The obtained models were applied in many areas of physics including optical coupled structures [7][8][9][10], optical waveguides [11,12], coupled optical micro-resonators [13][14][15], optical lattices [16][17][18][19], opto-mechanical systems [20,21], etc.…”

Section: Introductionmentioning

confidence: 99%

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Quantum Behavior of a PT -Symmetric Two-Mode System with Cross-Kerr Nonlinearity

Peřina

Lukš

2019

Symmetry

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Quantum behavior of two oscillator modes, with mutually balanced gain and loss and coupled via linear coupling (including energy conserving as well as energy non-conserving terms) and nonlinear cross-Kerr effect, is investigated. Stationary states are found and their stability analysis is given. Exceptional points for PT -symmetric cases are identified. Quantum dynamics treated by the model of linear operator corrections to a classical solution reveals nonclassical properties of individual modes (squeezing) as well as their entanglement.

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“…This is so due to certain balance between the damping and amplification and other parameters describing an open quantum system. Such Hamiltonians have been successfully used for describing numerous classical physical systems involving optical coupled structures [5][6][7][8], optical waveguides [9,10], optical lattices [11][12][13][14], coupled optical microresonators [15][16][17][18][19], quantum-electrodynamics circuits (QED) [20], optomechanical systems [21,22], systems with complex potentials [23], photonics molecules [24], etc. Enhanced sensing in such systems has been demonstrated [17,25].…”

Section: Introductionmentioning

confidence: 99%

Nonclassical light at exceptional points of a quantum PT -symmetric two-mode system

et al. 2019

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A two-mode optical parity-time (PT ) symmetric system, with gain and damping, described by a quantum quadratic Hamiltonian with additional small Kerr-like nonlinear terms, is analyzed from the point of view of nonclassical-light generation. Two kinds of stationary states with different types of (in)stability are revealed. Properties of one of these are related to the presence of semiclassical exceptional points, i.e., exotic degeneracies of the non-Hermitian Hamiltonian describing the studied system without quantum jumps. The evolution of the logarithmic negativity, principal squeezing variances, and sub-shot-noise photon-number correlations, considered as entanglement and nonclassicality quantifiers, is analyzed in the approximation of linear-operator corrections to the classical solution. Suitable conditions for nonclassical-light generation are identified in the oscillatory regime, especially at and around exceptional points that considerably enhance the nonlinear interaction and, thus, the non-classicality of the generated light. The role of quantum fluctuations, inevitably accompanying attenuation and amplification in the evolution of quantum states, is elucidated. The evolution of the system is analyzed for different initial conditions.

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Lop-sided Raman–Nath diffraction in PT-antisymmetric atomic lattices

Cited by 35 publications

References 26 publications

Optical absorption microscopy of localized atoms at microwave domain: two-dimensional localization based on the projection of three-dimensional localization

Optical absorption microscopy of localized atoms at microwave domain: two-dimensional localization based on the projection of three-dimensional localization

Quantum Behavior of a PT -Symmetric Two-Mode System with Cross-Kerr Nonlinearity

Nonclassical light at exceptional points of a quantum PT -symmetric two-mode system

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