Impact of the Casimir Effect on Entanglement in a Ring-Shaped Cavity

We investigate the optical modes of hollow ring resonator with omnidirectional reflector cladding by numerical method. We demonstrate that each TM0mlmode (or TE0mlmode) can split into two modes whose wavelengths are very close. The doublet effect is caused by the symmetry breaking at circular cross section when a straight waveguide is curled into a ring shape. The ring-shaped hollow Bragg cavity provides a platform to research the interaction of Rydberg atoms and light mode.

IEEE Photonics Technology LettersOct 23, 20141 citation

Impact of the Casimir Effect on Entanglement in a Ring-Shaped Cavity

Rubab Shabir, Fazal Badshah, Sobia Asghar, Ziauddin Ziauddin, Shi‐Hai Dong

Published Jan 1, 2024• 0 citations

Publisher

DOI: 10.2139/ssrn.4872570

Related papers

Optimization of the rotational mode entanglement in a ring-shaped cavity with Casimir forces

Rubab Shabir, Fazal Badshah, Sobia Asghar +3 more

Chinese Journal of PhysicsDec 9, 20240 citations

Effect of Cavity QED on Entanglement

Saad Rfifi, Fatima-Zahra Siyouri

Foundations of PhysicsJun 23, 20164 citations

Fermion-mediated Casimir effect on mesoscopic rings implementing non-Clifford SWAP $^α$ gatesFermion-mediated Casimir effect on mesoscopic rings implementing non-Clifford SWAP$^α$ gates

Liang Du, Qing-Dong Jiang, Yijia Wu

The Casimir effect is typically governed by intrinsic material properties and lacks in situ tunability. We show that, in mesoscopic rings, both the magnitude and sign of the fermion-mediated Casimir interaction can be controlled via the Aharonov-Bohm effect. The resulting interplay between the Aharonov-Bohm phase and the Casimir interaction provides a route to engineer long-range interactions. In particular, this mechanism enables the implementation of non-Clifford SWAP $^α$ gates between spatially separated spin qubits, thereby reducing the overhead for universal quantum computation and quantum error correction in spin-qubit architectures.The Casimir effect is typically governed by intrinsic material properties and lacks in situ tunability. We show that, in mesoscopic rings, both the magnitude and sign of the fermion-mediated Casimir interaction can be controlled via the Aharonov-Bohm effect. The resulting interplay between the Aharonov-Bohm phase and the Casimir interaction provides a route to engineer long-range interactions. In particular, this mechanism enables the implementation of non-Clifford SWAP$^α$ gates between spatially separated spin qubits, thereby reducing the overhead for universal quantum computation and quantum error correction in spin-qubit architectures.

arXiv:2607.08840Jul 9, 20260 citations

The dynamical Casimir effect generates entanglement

Simone Felicetti, Mikel Sanz, Lucas Lamata +4 more

Bulletin of the American Physical SocietyMar 4, 20140 citations

Spin and angular momentum transitions in few-electron quantum dots and rings

Ning Yang, Zhensheng Dai, Jia‐Lin Zhu

The studies on quantum dots and rings containing $4\ensuremath{\sim}6$ electrons reveal that the shapes of the systems have great impact on the spin transitions of the ground states. For five-electron case, the different shapes lead to the different transition processes in quantum dots and rings. For six-electron case, the ring confinement forbids the spin transition, which really exists in dot confinement. The investigations on the angular momentum transitions in magnetic fields show that the sensibility of the transitions to the size of the system depends remarkably on the particle number. The four-electron case is almost size insensitive but the five-electron case has obvious size dependence. It is also found that the behaviors of the few-electron entanglement in quantum dots and rings are quite different. The entanglement entropies in quantum dots increase with the increase in the magnetic field but exhibit Aharonov-Bohm oscillation patterns in narrow rings. The studies of the shape, size, and particle number effects are important for understanding the liquid-to-crystal transitions, and may be helpful for the manipulation of electronic states in quantum dots and rings.The studies on quantum dots and rings containing $4\ensuremath{\sim}6$ electrons reveal that the shapes of the systems have great impact on the spin transitions of the ground states. For five-electron case, the different shapes lead to the different transition processes in quantum dots and rings. For six-electron case, the ring confinement forbids the spin transition, which really exists in dot confinement. The investigations on the angular momentum transitions in magnetic fields show that the sensibility of the transitions to the size of the system depends remarkably on the particle number. The four-electron case is almost size insensitive but the five-electron case has obvious size dependence. It is also found that the behaviors of the few-electron entanglement in quantum dots and rings are quite different. The entanglement entropies in quantum dots increase with the increase in the magnetic field but exhibit Aharonov-Bohm oscillation patterns in narrow rings. The studies of the shape, size, and particle number effects are important for understanding the liquid-to-crystal transitions, and may be helpful for the manipulation of electronic states in quantum dots and rings.

Physical Review BJun 23, 200811 citations

Optical Mode Splitting in Ring-Shaped Hollow Bragg Cavity

Jiangfeng Xu

IEEE Photonics Technology LettersOct 23, 20141 citation

Fermion-mediated Casimir effect on mesoscopic rings implementing non-Clifford SWAP

^α

gates

^α

gates between spatially separated spin qubits, thereby reducing the overhead for universal quantum computation and quantum error correction in spin-qubit architectures.