We investigate the optical soliton and patterns within a system exhibiting a ladder-type Rydberg electromagnetically induced transparency configuration, controlled by a moir\'e lattice potential. By designing theoretically the optical moir\'e lattice, we study its localization-delocalization transition and numerically demonstrate the conditions for stable high-dimensional solitons in a commensurate and an incommensurate moir\'e lattice, respectively. Through modulation instability analysis and numerical simulations, on the one hand, we find that the solitons and vortices exhibit exceptional stability in the self-focusing Kerr nonlinear system. On the other hand, our simulations further reveal the emergence of various extended structures, including polygonal, hexagonal, square, annular, and droplet patterns in self-defocusing Kerr nonlinear system. We also demonstrate various structural phase transitions of the optical patterns by actively manipulating the moir\'e lattice constant and the strength of nonlinear interactions, resulting in a diverse range of ground-state patterns. Our paper provides a versatile platform for manipulating and controlling light-matter interactions in Rydberg atomic ensembles, opening avenues for future research in designing and controlling complex light structures using Rydberg atomic systems.We investigate the optical soliton and patterns within a system exhibiting a ladder-type Rydberg electromagnetically induced transparency configuration, controlled by a moir\'e lattice potential. By designing theoretically the optical moir\'e lattice, we study its localization-delocalization transition and numerically demonstrate the conditions for stable high-dimensional solitons in a commensurate and an incommensurate moir\'e lattice, respectively. Through modulation instability analysis and numerical simulations, on the one hand, we find that the solitons and vortices exhibit exceptional stability in the self-focusing Kerr nonlinear system. On the other hand, our simulations further reveal the emergence of various extended structures, including polygonal, hexagonal, square, annular, and droplet patterns in self-defocusing Kerr nonlinear system. We also demonstrate various structural phase transitions of the optical patterns by actively manipulating the moir\'e lattice constant and the strength of nonlinear interactions, resulting in a diverse range of ground-state patterns. Our paper provides a versatile platform for manipulating and controlling light-matter interactions in Rydberg atomic ensembles, opening avenues for future research in designing and controlling complex light structures using Rydberg atomic systems.

Physical Review AAug 12, 20245 citations

Coherent states of soliton potentials

B.V. Samsonov

Physics of Atomic NucleiApr 1, 19964 citations

Weak-light solitons and their active control in a parity-time-symmetric atomic system

Chao Hang, Guoxiang Huang

We propose a realistic physical scheme to produce one-dimensional and two-dimensional weak-light solitons in an atomic system with $\mathcal{PT}$ symmetry. The system we suggest is a cold three-level atomic gas with two species and is driven by control and probe laser fields. We show that by the interference of two Raman resonances a highly adjustable probe-field refractive index with $\mathcal{PT}$ symmetry in one and two dimensions can be realized. We further show that it is possible to produce various light solitons when the weak nonlinearity of the probe field is taken into account. Due to the resonant character of the system, the light solitons obtained in one and two dimensions have extremely low light power (at the level of nanowatts). In addition, we demonstrate that the stability of these light solitons can be actively controlled via $\mathcal{PT}$ phase transition of the system.We propose a realistic physical scheme to produce one-dimensional and two-dimensional weak-light solitons in an atomic system with $\mathcal{PT}$ symmetry. The system we suggest is a cold three-level atomic gas with two species and is driven by control and probe laser fields. We show that by the interference of two Raman resonances a highly adjustable probe-field refractive index with $\mathcal{PT}$ symmetry in one and two dimensions can be realized. We further show that it is possible to produce various light solitons when the weak nonlinearity of the probe field is taken into account. Due to the resonant character of the system, the light solitons obtained in one and two dimensions have extremely low light power (at the level of nanowatts). In addition, we demonstrate that the stability of these light solitons can be actively controlled via $\mathcal{PT}$ phase transition of the system.

Physical Review AApr 22, 201521 citations

Coherent states as soliton solutions

Giacomo Mauro D’Ariano, Mario Rasetti

Journal of Magnetism and Magnetic MaterialsFeb 1, 19863 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.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 PhysicsMar 1, 20095 citations

We propose a realistic physical scheme to produce one-dimensional and two-dimensional weak-light solitons in an atomic system with

\mathcal{PT}

symmetry. The system we suggest is a cold three-level atomic gas with two species and is driven by control and probe laser fields. We show that by the interference of two Raman resonances a highly adjustable probe-field refractive index with

\mathcal{PT}

symmetry in one and two dimensions can be realized. We further show that it is possible to produce various light solitons when the weak nonlinearity of the probe field is taken into account. Due to the resonant character of the system, the light solitons obtained in one and two dimensions have extremely low light power (at the level of nanowatts). In addition, we demonstrate that the stability of these light solitons can be actively controlled via

\mathcal{PT}

phase transition of the system.