Sub-half-wavelength localization of a two-level atom via trichromatic phase manipulation

Xu, Jun; Li, Qian; Yan, Wenchao; Chen, Xiangdong; Hu, Xiangming

doi:10.1016/j.physleta.2008.07.069

Cited by 17 publications

(9 citation statements)

References 62 publications

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“…Here the parameter = 12 − 14 + 23 − 43 describes a multiphoton detuning. On the other hand, p = ω p − ω 35 , 43 = ω 4 − ω 43 , 23 = ω 2 − ω 23 , 14 = ω 3 − ω 14 , and 12 = ω 1 − ω 12 are, respectively, the frequencies of the one photon detuning for the transitions |3 ←→ |5 , 4 ←→ |3 , |2 ←→ |3 , |1 ←→ |4 , and |2 ←→ |1 , with ω i being the central frequency of the laser fields. The rates of the spontaneous decay from upper level |i to the lower level |j is given by 2γ ij .…”

Section: Model and Equationsmentioning

confidence: 99%

“…In the first case where the atom-light coupling is described by Eqs. (12) and (13), the interference term reduces 2 41 In such a situation the probe absorption is the same in each of four quadrants, so the localization is not perfect.…”

Section: Third Case: Only One Control Field Is Position Dependentmentioning

confidence: 99%

“…Earlier theoretical studies for the localization mostly consider one-dimensional (1D) atom localization based on the atomic coherence and quantum interference effects [8][9][10][11][12]. Note that the quantum coherence and interference play a fundamental role in many other phenomena of atomic physics * hamid.hamedi@tfai.vu.lt † gediminas.juzeliunas@tfai.vu.lt and quantum optics, such as an electromagnetically induced transparency (EIT) [13][14][15][16][17][18], superluminal light propagation [19][20][21][22], optical bistability [23,24], Kerr nonlinearity [25,26], and others [27][28][29].…”

Section: Introductionmentioning

confidence: 99%

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Phase-sensitive atom localization for closed-loop quantum systems

Hamedi

Juzeliūnas

2016

Phys. Rev. A

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A scheme of high-precision two-and three-dimensional (3D) atom localization is proposed and analyzed by using a density matrix method for a five-level atom-light coupling scheme. In this system four strong laser components (which could be standing waves) couple a pair of atomic internal states to another pair of states in all possible ways to form a closed-loop diamond-shape configuration of the atom-light interaction. By systematically solving the density matrix equations of the motion, we show that the imaginary part of the susceptibility for the weak probe field is position dependent. As a result, one can obtain information about the position of the atom by measuring the resulting absorption spectra. Focusing on the signatures of the relative phase of the applied fields stemming from the closed-loop structure of the diamond-shape subsystem, we find out that there exists a significant phase dependence of the eigenvalues required to have a maximum in the probe absorption spectra. It is found that by properly selecting the controlling parameters of the system, a nearly perfect 2D atom localization can be obtained. Finally, we numerically explore the phase control of 3D atom localization for the present scheme and show the possibility to obtain 1/2 detecting probability of finding the atom at a particular volume in 3D space within one period of standing waves.

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Section: Model and Equationsmentioning

confidence: 99%

Section: Third Case: Only One Control Field Is Position Dependentmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Phase-sensitive atom localization for closed-loop quantum systems

Hamedi

Juzeliūnas

2016

Phys. Rev. A

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“…In this situation, a weak probe beam of light travels slowly in a resonant medium controlled by another laser beam without any significant absorption [1][2][3][4][5][6][7][8]. Because of changing absorption and dispersion characteristics of an atomic medium [9][10][11][12][13][14][15][16], EIT can result in several interesting phenomena in nonlinear optics, such as multiwave mixing [17][18][19][20], an enhanced Kerr nonlinearity [21][22][23][24][25][26][27][28], stable optical solitons [29][30][31][32][33][34], and optical bistability [35][36][37][38][39][40][41][42][43]. The optical bistability (OB) has been investigated both theoretically and experimentally in various multilevel EIT schemes due to its applications in all-optical transistors, switches, logical gates, and quantum memory [44].…”

Section: Introductionmentioning

confidence: 99%

Optical bistability forming due to a Rydberg state

et al. 2017

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We consider the behavior of optical bistability (OB) and multistability (OM) in a four-level atomic system involving a Rydberg state illuminated by a probe field as well as control and switching laser beams of larger intensity. When the switching field is absent, no OB arises because of the effect of Rydberg electromagnetically induced transparency. However, by application of the switching field, the hysteresis cycle appears to give rise to optical bistability, thanks to Rydberg electromagnetically induced absorption. It is further demonstrated that one can efficiently modify the OB threshold via suitable choices of system-controlling parameters. Interestingly, it is observed that this model can produce an optical switching between OB and OM with potential applications in logic-gate devices for optical communication.

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“…There exist various one dimensional (1D) and two dimensional (2D) schemes for atom and electron localization properties of media by monitoring spontaneous emission spectrum and by monitoring absorption of a weak probe field (Sahrai et al 2005;Kapale and Zubairy 2006;Xu et al 2008;Li et al 2011;Ding et al 2011;Wang and Yu 2014;Ding et al 2011a, b;Zhang et al 2014;Hamedi 2014;Wang et al 2013). For instance, Xu et al (2008) investigated the possibility to 1D localization of a two-level atom in a half-wavelength region by using a trichromatic field to drive the atom. Ding et al (2011) considered a fivelevel M-type atomic system interacting with two orthogonal standing wave laser fields and the vacuum of the radiation field.…”

Section: Introductionmentioning

confidence: 99%

Atom position measurement in a four-level Lambda-shaped scheme with twofold lower-levels

2015

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The two-dimensional position dependent probe absorption spectrum of a driven four-level K-type atomic system with twofold lower-levels interacting with two orthogonal standing wave laser fields and one microwave field is investigated. It is found that due to the position dependent nature of atom-field interaction, the spatial distribution of the atom can be controlled by scanning the resulting absorption spectra of the weak probe field. The effect of different controlling parameters of the system such as detunings, the intensity of standing wave fields as well as the relative phase of applied fields on the position measurement uncertainty of the atom is then discussed. We show that by properly adjusting the system parameters, different spatial structures of localization as '?'-like, spot-like, deltoid-like and elliptic like patterns can be designed, so that high-precision and high-resolution atom localization can be engineered.

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Sub-half-wavelength localization of a two-level atom via trichromatic phase manipulation

Cited by 17 publications

References 62 publications

Phase-sensitive atom localization for closed-loop quantum systems

Phase-sensitive atom localization for closed-loop quantum systems

Optical bistability forming due to a Rydberg state

Atom position measurement in a four-level Lambda-shaped scheme with twofold lower-levels

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