Representations of Uϵres(sl2)U_{\epsilon}^{res}(sl_2) via Restricted q-Fock Spaces

Two restricted $C[q,q^{-1}]-$forms of the well known q-boson algebra are introduced and the corresponding restricted q-Fock spaces defined. All of the irreducible highest weight representations, including the infinite dimensional ones, of $U_\epsilon ^{res}(sl_2)$ of type 1 are constructed through the restricted q-Fock spaces.Comment: 15 page

Two Mode Photon Bunching Effect as Witness of Quantum Criticality in Circuit QED

We suggest a scheme to probe critical phenomena at a quantum phase transition (QPT) using the quantum correlation of two photonic modes simultaneously coupled to a critical system. As an experimentally accessible physical implementation, a circuit QED system is formed by a capacitively coupled Josephson junction qubit array interacting with one superconducting transmission line resonator (TLR). It realizes an Ising chain in the transverse field (ICTF) which interacts with the two magnetic modes propagating in the TLR. We demonstrate that in the vicinity of criticality the originally independent fields tend to display photon bunching effects due to their interaction with the ICTF. Thus, the occurrence of the QPT is reflected by the quantum characteristics of the photonic fields.Comment: 7 pages, 4 figure

Beyond Pasteur’s Quadrant Model: A New Dynamic Model of Basic Research and its Implementation

Basic research inspired by national interest is critical for the promotion of China’s innovation capacity and global competitiveness in science and technology; it is also a major driving force for disruptive technologies. Therefore, the concept and development law of basic research inspired by national interest should be well studied to guide the development of basic research. In this study, we review the connotation and application of the linear model of innovation proposed by Vannevar Bush and the Pasteur’s quadrant model proposed by Donald Stokes. Based on these models, we introduce basicness and useness dimensions along with a time dimension and develop a new three-dimensional dynamic model of basic research. The development of intense lasers fits this new model well and clearly demonstrates the spiral upward interactions among basic research, applied research, and technology development inspired by national interest. On the basis of this new model of basic research development, we emphasize the importance of falsifiability and research integrity, and the decisive role of basic research on the key technologies. Besides, the subjective misguidance of researches inspired by national interest should be avoided

Entanglement of spin-orbit qubits induced by Coulomb interaction

Spin-orbit qubit (SOQ) is the dressed spin by the orbital degree of freedom through a strong spin-orbit coupling (SOC). We show that Coulomb interaction between two electrons in quantum dots located separately in two nanowires can efficiently induce quantum entanglement between two SOQs. But to achieve the highest possible value for two SOQs concurrence, strength of SOC and confining potential for the quantum dots should be tuned to an optimal ratio. The physical mechanism to achieve such quantum entanglement is based on the feasibility of the SOQ responding to the external electric field via an intrinsic electric dipole spin resonance

Representations of Uepsilonres (sl2) via restricted Spaces q-Fock Spaces Spaces

Consiglio Nazionale delle Ricerche - Biblioteca Centrale - P.le Aldo Moro, 7 Rome / CNR - Consiglio Nazionale delle RichercheSIGLEITItal

Entanglement of spin-orbit qubits induced by Coulomb interaction

Spin-orbit qubit (SOQ) is the dressed spin by the orbital degree of freedom through a strong spin-orbit coupling (SOC). We show that Coulomb interaction between two electrons in quantum dots located separately in two nanowires can efficiently induce quantum entanglement between two SOQs. But to achieve the highest possible value for two SOQs concurrence, strength of SOC and confining potential for the quantum dots should be tuned to an optimal ratio. The physical mechanism to achieve such quantum entanglement is based on the feasibility of the SOQ responding to the external electric field via an intrinsic electric dipole spin resonance