Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Communications in Theoretical Physics

Ultraslow Propagation of Entangled State via Four-Wave Mixing in a Coupled Double Quantum Well

Chunling Ding, Ji-Bing Liu, Xin‐You Lü, Xiangying Hao

Published Apr 1, 2010• 1 citation
Publisher

Abstract

An analytical method based on four-wave mixing (FWM) is here developed to study the generation of entangled state in an asymmetric semiconductor double quantum well structure. It is found that the maximally entangled state of two beams (the probe and four-wave mixing beams) can be achieved in an appropriate condition. Moreover, we also show that the two entangled beams propagate with ultraslow group velocity in the semiconductor medium. This investigation can be used for achieving the entangled beams in the semiconductor solid-state medium, which is much more practical than that in an atomic medium because of its flexible design and the wide adjustable parameters.

DOI
10.1088/0253-6102/53/4/14

Related papers

Achieving an ultra-slowly propagating maximally entangled state of two light beams via four-wave mixing in a double-Λ system

Xiaoxue Yang, Ying Wu

We propose a scheme via four-wave mixing in a double-Λ system to generate a maximally entangled state of two light beams (the probe laser beam and the four-waving mixing beam), which propagates with ultraslow group velocity. It appears to be the first scheme to achieve an ultra-slowly propagating maximally entangled state of lights.

Journal of Optics B Quantum and Semiclassical Optics•Jan 7, 2005•48 citations

Ultraslow Optical Solitons in a Coupled Double Quantum-Well Nanostructure

Xiangying Hao, Ji-Bing Liu, Xin‐You Lü +2 more

We demonstrate the formation of ultraslow dark optical solitons with a four-level scheme in an asymmetric semiconductor double quantum well (SDQW) structure based on intersubband transitions by using only a low-intensity pulsed laser radiation. With appropriate conditions we show numerically that the dark optical soliton can travel with a ultraslow group velocity V g /c ∼ – 10 −3 . Such a semiconductor system is much more practical than its atomic counterpart because of its flexible design and the controllable interference strength. This nonlinear optical process in the SDQW solid-state material may be used for the control technology of optical delay lines and optical buffers.

Communications in Theoretical Physics•Mar 1, 2009•5 citations

Preparation of multiparty entangled states using pairwise perfectly efficient single-probe photon four-wave mixing

Ying Wu, M. G. Payne, E. W. Hagley +1 more

We propose a scheme to achieve multiparty entanglement with perfectly efficient, ultraslow, multichannel pairwise four-wave mixing (FWM). A cold atomic medium is illuminated with an $N$-mode continuous-wave (cw) control laser to produce coherent mixtures of excited states. An ultraslowly propagating, single-photon quantum probe field completes multichannel, pairwise FWM, creating a depth dependent entanglement of $N$ Fock states. We show explicitly that this scheme can be utilized to realize an $N$-party entangled state of ultraslowly propagating quantized fields. In particular, we give the explicit analytical expression of a three-party W-state propagating at an ultraslow group velocity, and the numerical results of a multiparty W state of $2M+1$ Fock states.

Physical Review A•Jun 3, 2004•155 citations

Quantum Entanglement of Fock States with Perfectly Efficient Ultraslow Single-Probe Photon Four-Wave Mixing

M. G. Payne, L. Deng

We propose a method to achieve quantum entanglement of two Fock states with perfectly efficient, ultraslow propagation enhanced four-wave mixing. A cold atomic medium is illuminated with a two-mode cw control laser to produce coherent mixtures of excited states. An ultraslowly propagating, single-photon quantum probe field completes the four-wave mixing with 100% photon flux conversion efficiency, creating a depth dependent entanglement of two Fock states. We show that at a suitable propagation distance, a maximum entangled state is created with a single-photon wave-packet state that has 50% probability of being in each of two product-type Fock states.

Physical Review Letters•Sep 18, 2003•77 citations

Giant enhanced four-wave mixing efficiency via two-photon resonance in asymmetric quantum wells

Shaopeng Liu, Wen‐Xing Yang, Zhonghu Zhu +1 more

We propose an efficient four-wave mixing (FWM) scheme in asymmetric semiconductor quantum wells (SQWs) via two-photon resonance. By using the coupled Schrödinger–Maxwell formalism, we derive explicitly the corresponding analytical expressions of the inter-probe pulse and generated FWM field in the linear regime under the steady-state condition. With the aid of cross coupling between one ground state and two closely adjacent excited states, the efficiency of the generated FWM field is found to be significantly enhanced, up to 60%. More interestingly, a wide region of the maximum FWM efficiency is demonstrated as the ratio of transition dipole moments is within the values ranging from 1.1 to 1.3, which can be maintained for a certain propagation distance (i.e. 100 μ m).

Laser Physics Letters•Aug 12, 2015•8 citations

Matched ultraslow propagation of highly efficient four-wave mixing in a closely cycled double-ladder system

Yanpeng Zhang, Andy W. Brown, Min Xiao

We present a fully time dependent, adiabatic solution, and steady-state analysis for the ultraslow propagation of the nondegenerate four-wave mixing (NDFWM) signal and the weak probe beam in a closely-cycled double-ladder system. Under appropriate (especially power balance) conditions, the two-mode probe and phase-matched NDFWM pulses, after a characteristic propagation length, evolve into a pair of amplitude and group velocity matched pulses. Double transparency for the probe and NDFWM beams can be achieved owing to an efficient one- and three-photon destructive interference involving the NDFWM beam and its back reaction to the probe beam. The forward and backward configurations are investigated in this double-ladder system, and their efficiencies are calculated and compared.

Physical Review A•Nov 20, 2006•36 citations
An analytical method based on four-wave mixing (FWM) is here developed to study the generation of entangled state in an asymmetric semiconductor double quantum well structure. It is found that the maximally entangled state of two beams (the probe and four-wave mixing beams) can be achieved in an appropriate condition. Moreover, we also show that the two entangled beams propagate with ultraslow group velocity in the semiconductor medium. This investigation can be used for achieving the entangled beams in the semiconductor solid-state medium, which is much more practical than that in an atomic medium because of its flexible design and the wide adjustable parameters.
We demonstrate the formation of ultraslow dark optical solitons with a four-level scheme in an asymmetric semiconductor double quantum well (SDQW) structure based on intersubband transitions by using only a low-intensity pulsed laser radiation. With appropriate conditions we show numerically that the dark optical soliton can travel with a ultraslow group velocity V g /c ∼ – 10 −3 . Such a semiconductor system is much more practical than its atomic counterpart because of its flexible design and the controllable interference strength. This nonlinear optical process in the SDQW solid-state material may be used for the control technology of optical delay lines and optical buffers.
We propose a scheme to achieve multiparty entanglement with perfectly efficient, ultraslow, multichannel pairwise four-wave mixing (FWM). A cold atomic medium is illuminated with an NNN-mode continuous-wave (cw) control laser to produce coherent mixtures of excited states. An ultraslowly propagating, single-photon quantum probe field completes multichannel, pairwise FWM, creating a depth dependent entanglement of NNN Fock states. We show explicitly that this scheme can be utilized to realize an NNN-party entangled state of ultraslowly propagating quantized fields. In particular, we give the explicit analytical expression of a three-party W-state propagating at an ultraslow group velocity, and the numerical results of a multiparty W state of 2M+12M+12M+1 Fock states.
We propose a method to achieve quantum entanglement of two Fock states with perfectly efficient, ultraslow propagation enhanced four-wave mixing. A cold atomic medium is illuminated with a two-mode cw control laser to produce coherent mixtures of excited states. An ultraslowly propagating, single-photon quantum probe field completes the four-wave mixing with 100% photon flux conversion efficiency, creating a depth dependent entanglement of two Fock states. We show that at a suitable propagation distance, a maximum entangled state is created with a single-photon wave-packet state that has 50% probability of being in each of two product-type Fock states.
We propose an efficient four-wave mixing (FWM) scheme in asymmetric semiconductor quantum wells (SQWs) via two-photon resonance. By using the coupled Schrödinger–Maxwell formalism, we derive explicitly the corresponding analytical expressions of the inter-probe pulse and generated FWM field in the linear regime under the steady-state condition. With the aid of cross coupling between one ground state and two closely adjacent excited states, the efficiency of the generated FWM field is found to be significantly enhanced, up to 60%. More interestingly, a wide region of the maximum FWM efficiency is demonstrated as the ratio of transition dipole moments is within the values ranging from 1.1 to 1.3, which can be maintained for a certain propagation distance (i.e. 100 μ m).
We present a fully time dependent, adiabatic solution, and steady-state analysis for the ultraslow propagation of the nondegenerate four-wave mixing (NDFWM) signal and the weak probe beam in a closely-cycled double-ladder system. Under appropriate (especially power balance) conditions, the two-mode probe and phase-matched NDFWM pulses, after a characteristic propagation length, evolve into a pair of amplitude and group velocity matched pulses. Double transparency for the probe and NDFWM beams can be achieved owing to an efficient one- and three-photon destructive interference involving the NDFWM beam and its back reaction to the probe beam. The forward and backward configurations are investigated in this double-ladder system, and their efficiencies are calculated and compared.