Searcharxiv⌕ Search

arXiv subjects

Bing Chen

Publications and source records attributed to Bing Chen.

At least 73 records · Page 4Linked to original sources

Combined study of $2S$ and $1D$ open-charm mesons with natural spin-parity

In this paper, we perform a combined study of $2S$ and $1D$ open-charm mesons with natural spin-parity. Our results indicate that $D^*_1(2600)/D^*_{s1}(2700)$ and $D^*_1(2760)/D^*_{s1}(2860)$ are predominantly the $2^3S_1$ and $1^3D_1$ charmed/charmed-strange mesons, respectively, while $D_3^*(2760)/D_{s3}^*(2860)$ can be regarded as the $1^3D_3$ charmed/charmed-strange mesons. In addition, some typical ratios of partial widths of the discussed natural states are predicted, by which future experiments can test these assignments, especially for the $2S$-$1D$ mixing scheme existing in $D^*_1(2600)/D^*_1(2760)$ and $D^*_{s1}(2700)/D^*_{s1}(2860)$.

hep-ph↗

Assignments of $Λ_Q$ and $Ξ_Q$ baryons in the heavy quark-light diquark picture

We apply a new mass formula which is derived analytically in the relativistic flux tube model to the mass spectra of $Λ_Q$ and $Ξ_Q$ (\emph{Q} = \emph{c} or \emph{b} quark) baryons. To this end, the heavy quark-light diquark picture is employed. We find that all masses of the available $Λ_Q$ and $Ξ_Q$ states can be understood well. The assignments to these states do not appear to contradict the strong decay properties. $Λ_c(2760)^+$ and $Ξ_c(2980)$ are assigned to the first radial excitations with $J^P = 1/2^+$. $Λ_c(2940)^+$ and $Ξ_c(3123)$ might be the 2\emph{P} states. The $Λ_c(2880)^+$ and $Ξ_c(3080)$ are the good 1\emph{D} candidates with $J^P = 5/2^+$. $Ξ_c(3055)$ is likely to be a 1\emph{D} state with $J^P = 3/2^+$. $Λ_b(5912)^0$ and $Λ_b(5920)^0$ favor the 1\emph{P} assignments with $J^P = 1/2^-$ and $3/2^-$, respectively. We propose a search for the $\tildeΛ_{c2}(5/2^-)$ state which can help to distinguish the diquark and three-body schemes.

hep-ph↗

An impurity-induced gap system as a quantum data bus for quantum state transfer

We introduce a tight-binding chain with a single impurity to act as a quantum data bus for perfect quantum state transfer. Our proposal is based on the weak coupling limit of the two outermost quantum dots to the data bus. First show that the data bus has an energy gap between the ground and first-excited states in the single-particle case induced by the impurity in the single particle case. By connecting two quantum dots to two sites of the data bus, the system can accomplish a high-fidelity and long-distance quantum state transfer. Numerical simulations were performed for a finite system; the results show that the numerical and analytical results of the effective coupling strength agree well with each other. Moreover, we study the robustness of this quantum communication protocol in the presence of disorder in the couplings between the nearest-neighbor quantum dots. We find that the gap of the system plays an important role in robust quantum state transfer.

quant-ph↗

Generation of a squeezed state of an oscillator by stroboscopic back-action-evading measurement

Continuous observation on an oscillator is known to result in quantum back-action which limits the knowledge acquired by the measurement. A careful balance between the information obtained and the back-action disturbance leads to a limit known as the standard quantum limit. The means to surpass this limit by modulating the measurement strength with the period proportional to half period of the oscillation has been proposed decades ago (Braginskii et al 1978 JETP Lett. 27 276; Thorne et al 1978 Phys. Rev. Lett. 40 667; Braginskii et al 1980 Science 209 547). Such modulated or stroboscopic observation leading to a squeezed state of one quadrature of the oscillator motion with the quantum noise below that of the zero-point fluctuations has been a long-standing goal. Here, we report on the generation of a quadrature-squeezed state of an oscillator by stroboscopic back-action evading measurement. The oscillator is the collective spin of an atomic ensemble precessing in magnetic field. It is initially prepared in nearly the ground state with an average thermal occupancy number $0.08 \pm 0.01$. The oscillator is coupled to the optical mode of a cavity, and the cavity output field detected with polarization homodyning serves as the meter. A back-action-evading measurement is performed by stroboscopically modulating the intensity of the light field at twice the Larmor frequency, resulting in a squeezed state conditioned on the light-polarization measurement with $2.2 \pm 0.3$ dB noise reduction below the zero-point fluctuations for the measured quadrature. The demonstrated squeezing holds promise for metrological advantage in quantum sensing.

quant-ph↗

Degree and neighborhood intersection conditions restricted to induced subgraphs ensuring Hamiltonicity of graphs

Let claw be the graph $K_{1,3}$. A graph $G$ on $n\geq 3$ vertices is called \emph{o}-heavy if each induced claw of $G$ has a pair of end-vertices with degree sum at least $n$, and 1-heavy if at least one end-vertex of each induced claw of $G$ has degree at least $n/2$. In this note, we show that every 2-connected $o$-heavy or 3-connected 1-heavy graph is Hamiltonian if we restrict Fan-type degree condition or neighborhood intersection condition to certain pairs of vertices in some small induced subgraphs of the graph. Our results improve or extend previous results of Broersma et al., Chen et al., Fan, Goodman & Hedetniemi, Gould & Jacobson, and Shi on the existence of Hamilton cycles in graphs.

math.CO↗

Hamilton cycles in almost distance-hereditary graphs

Let $G$ be a graph on $n\geq 3$ vertices. A graph $G$ is almost distance-hereditary if each connected induced subgraph $H$ of $G$ has the property $d_{H}(x,y)\leq d_{G}(x,y)+1$ for any pair of vertices $x,y\in V(H)$. A graph $G$ is called 1-heavy (2-heavy) if at least one (two) of the end vertices of each induced subgraph of $G$ isomorphic to $K_{1,3}$ (a claw) has (have) degree at least $n/2$, and called claw-heavy if each claw of $G$ has a pair of end vertices with degree sum at least $n$. Thus every 2-heavy graph is claw-heavy. In this paper we prove the following two results: (1) Every 2-connected, claw-heavy and almost distance-hereditary graph is Hamiltonian. (2) Every 3-connected, 1-heavy and almost distance-hereditary graph is Hamiltonian. In particular, the first result improves a previous theorem of Feng and Guo. Both results are sharp in some sense.

math.CO↗

Two sufficient conditions for the existence of Hamilton cycles in graphs

Let $G$ be a graph on $n\geq 3$ vertices, claw the bipartite graph $K_{1,3}$, and $Z_i$ the graph obtained from a triangle by attaching a path of length $i$ to its one vertex. $G$ is called 1-heavy if at least one end vertex of each induced claw of $G$ has degree at least $n/2$, and claw-\emph{o}-heavy if each induced claw of it has a pair of end vertices with degree sum at least $n$. In this paper we prove two results: (1) Every 2-connected claw-$o$-heavy graph $G$ is Hamiltonian if every pair of vertices $u,v$ in a subgraph $H\cong Z_1$ contained in an induced subgraph $Z_2$ of $G$ with $d_{H}(u,v)=2$ satisfies one of the following conditions: ($a$) $|N(u)\cap N(v)|\geq 2$; ($b$) $\max(d(u),d(v))\geq n/2$. (2) Every 3-connected 1-heavy graph $G$ is Hamiltonian if every pair of vertices $u,v$ in an induced subgraph $H\cong Z_2$ of $G$ with $d_{H}(u,v)=2$ satisfies one of the following conditions: ($a$) $|N(u)\cap N(v)|\geq 2$; ($b$) $\max(d(u),d(v))\geq n/2$. Our results improve or extend previous theorems of Broersma et al., Chen et al., Fan, Goodman & Hedetniemi, Gould & Jacobson and Shi on the existence of Hamilton cycles in graphs.

math.CO↗

Heavy quark symmetry in strong decays of P-wave heavy-light mesons

Heavy quark symmetry and its breaking in strong decays of P-wave heavy-light mesons are examined within the EHQ's method. The consistence of theory with experiments indicates that the breaking of heavy quark symmetry in the two-body strong decays of these mesons is not large. The relation between the EHQ's method and the $^3P_0$ model is investigated, and the phenomenological transition strengths $\mathcal {F}^{j_q,j'_q}_{j_h,l}(0)$ of the P-wave heavy-light mesons within the EHQ method are analytically derived within the $^3P_0$ model.

hep-ph↗

Efficient Raman Frequency Conversion by Feedbacks of Pump and Stokes Fields

We experimentally demonstrate efficient Raman conversion to respective Stokes and anti-Stokes fields in both pulsed and continuous modes with a Rb-87 atomic vapor cell. The conversion efficiency is about 40-50% for the Stokes field and 20-30% for the anti-Stokes field, respectively. This conversion process is realized with feedback of both the Raman pump and the frequency-converted fields (Stokes or anti-Stokes). The experimental setup is very simple and can be applied easily to produce the light source with larger frequency difference using other Raman media. They may have wide applications in nonlinear optics, atomic physics, quantum optics and precise measurement.

physics.atom-ph↗

Long-range adiabatic quantum state transfer through a tight-binding chain as a quantum data bus

We introduce a scheme based on adiabatic passage that allows for long-range quantum communication through tight-binding chain with always-on interaction. By adiabatically varying the external gate voltage applied on the system, the electron can be transported from the sender's dot to the aim one.We numerically solve the Schrödinger equation for a system with a given number of quantum dots. It is shown that this scheme is a simple and efficient protocol to coherently manipulate the population transfer under suitable gate pulses. The dependence of the energy gap and the transfer time on system parameters is analyzed and shown numerically. Our method provides a guidance for future realization of adiabatic quantum state transfer in experiments.

quant-ph↗

Long-range adiabatic quantum state transfer through a linear array of quantum dots

We introduce an adiabatic long-range quantum communication proposal based on a quantum dot array. By adiabatically varying the external gate voltage applied on the system, the quantum information encoded in the electron can be transported from one end dot to another. We numerically solve the Schrödinger equation for a system with a given number of quantum dots. It is shown that this scheme is a simple and efficient protocol to coherently manipulate the population transfer under suitable gate pulses. The dependence of the energy gap and the transfer time on system parameters is analyzed and shown numerically. We also investigate the adiabatic passage in a more realistic system in the presence of inevitable fabrication imperfections. This method provides guidance for future realizations of adiabatic quantum state transfer in experiments.

quant-ph↗

$D^\star_{s1}(2700)^\pm$ and $D^\star_{sJ}(2860)^\pm$ revisited within the $^3P_0$ model

The strong decays of $D^\star_{s1}(2700)^\pm$ and $D^\star_{sJ}(2860)^\pm$ are investigated within the $^3P_0$ model. It is found that the interpretation of these two states depends on the mixing schemes and the ways of choices of the harmonic oscillator parameter $β$. If $D^\star_{s1}(2700)^\pm$ and $D^\star_{sJ}(2860)^\pm$ are two pure states, $D^\star_{s1}(2700)^\pm$ seems impossibly the $2^3S_1$ $D_s$, but may be the $1^3D_1$ $D_s$. $D^\star_{sJ}(2860)^\pm$ may be the $1^3D_3$. If there is mixing between the $2^3S_1$ and $1^3D_1$, $D^\star_{s1}(2700)^\pm$ may be the mixed $1^-$ state with a small mixing angle in the case of a special $β$ for each meson, and $D^\star_{sJ}(2860)^\pm$ is the orthogonal partner of $D^\star_{s1}(2700)^\pm$; $D^\star_{s1}(2700)^\pm$ may also be the mixed $1^-$ state with a large mixing angle based on a universal $β$ for all mesons, and $D^\star_{sJ}(2860)^\pm$ seems impossibly the orthogonal partner of $D^\star_{s1}(2700)^\pm$. Other uncertainties related to the choices of constituent quark masses and phase spaces are also explored.

hep-ph↗

Quantum corrections to the dynamics of the Bose-Einstein condensate in a double-well potential

The dynamics of the Bose-Einstein condensate (BEC) in a double-well potential is of- ten investigated under the mean-field theory (MFT). This works successfully for large particle numbers with dynamical stability. But for dynamical instabilities, quantum cor- rections to the MFT becomes important [Phys.Rev.A 64, 013605(2001)]. Recently the adiabatic dynamics of the double-well BEC is investigated under the MFT in terms of a dark variable [Phys.Rev.A 81, 043621(2010)], which generalizes the adiabatic passage techniques in quantum optics to the nonlinear matter-wave case. We give a fully quan- tized version of it using second-quantization and introduce new correction terms from higher order interactions beyond the on-site interaction, which are interactions between the tunneling particle and the particle in the well and interactions between the tunneling particles. If only the on-site interaction is considered, this reduces to the usual two-mode BEC.

quant-ph↗

Solve the Master Equation by Python-An Introduction to the Python Computing Environment

A brief introduction to the Python computing environment is given. By solving the master equation encountered in quantum transport, we give an example of how to solve the ODE problems in Python. The ODE solvers used are the ZVODE routine in Scipy and the bsimp solver in GSL. For the former, the equation can be in its complex-valued form, while for the latter, it has to be rewritten to a real-valued form. The focus is on the detailed workflow of the implementation process, rather than on the syntax of the python language, with the hope to help readers simulate their own models in Python.

physics.comp-ph↗

Possible 2S and 1D charmed and charmed-strange mesons

Possible $2S$ and $1D$ excited $D$ and $D_s$ states are studied, the charmed states $D(2550)^0$, $D^\ast(2600)$, $D(2750)^0$ and $D^\ast(2760)$ newly observed by the BaBar Collaboration are analyzed. The masses of these states are explored within the Regge trajectory phenomenology, and the strong decay widths are computed through the method proposed by Eichten {\it et al.}\cite{Eichten}. Both the mass and the decay width indicate that $D(2550)^0$ is a good candidate of $2^1S_0$. $D^\ast(2600)$ and $D_{s1}^\ast(2700)^\pm$ are very possible the admixtures of $2^3S_1$ and $1^3D_1$ with $J^P=1^-$ and a mixing angle $ϕ\approx 19^0$. $D^\ast(2760)$ and $D_{sJ}^\ast(2860)^\pm$ are possible the $1^3D_3$ $D$ and $D_s$, respectively. $D(2750)^0$ and $D^\ast(2760)$ seem two different states, and $D(2750)^0$ is very possible the $1D(2^-, \frac{5}{2})$ though the possibility of $1D(2^-, \frac{3}{2})$ has not been excluded. There may exist an unobserved meson $D_{sJ}(2850)^\pm$ corresponding to $D^\ast_{sJ}(2860)^\pm$.

hep-ph↗

Adiabatic quantum state transfer in non-uniform triple-quantum-dot system

We introduce an adiabatic quantum state transfer scheme in a non-uniform coupled triple-quantum-dot system. By adiabatically varying the external gate voltage applied on the sender and receiver, the electron can be transferred between them with high fidelity. By numerically solving the master equation for a system with always-on interaction, it is indicated that the transfer fidelity depends on the ration between the peak voltage and the maximum coupling constants. The effect of coupling mismatch on the transfer fidelity is also investigated and it is shown that there is a relatively large tolerance range to permit high fidelity quantum state transfer.

quant-ph↗

$J^P$ Assignments of $Λ_c^+$ Baryons

The "good" diquark is employed to study $Λ_c^{+}$ baryons within a mass loaded flux tube model. The study indicates that all $Λ_c^{+}$ baryons candidates in the 2008 review by the Particle Data Group (PDG) are well described in the mass loaded flux tube model. The quantum numbers $J^P$ of these $Λ_c^{+}$ candidates are assigned. If $Λ_c(2765)^{+}$ is an orbitally excited $Λ^+_c$, it is likely the $J^P={3\over 2}^+$ one. If $Λ_c(2765)^+$ is an orbitally excited $Σ_c$, there ought to be another $J^P={3\over 2}^+$ $Λ^+_c$ with mass $\approx 2770$ MeV. In the model, there exists no $J^P={1\over 2}^+$ $Λ_c(\approx 2700)^+$ predicted in existing literature. $Λ_c(2940)^{+}$ is very possible the orbitally excited baryon with $J^P={5\over 2}^-$.

hep-ph↗

Interpretation of $D_{sJ}(2632)^+$, $D_{s1}(2700)^\pm$, $D^\star_{sJ}(2860)^+$ and $D_{sJ}(3040)^+$

$D_s$ mesons are investigated in a semi-classic flux tube model where the spin-orbit interaction is taken into account. Spectrum of D-wave $D_s$ is predicted. The predicted spectrum is much lower than most previous predictions. Analysis of some $D_s$ candidates is made. $D_{sJ}(2632)^+$ may be a $1^-$ ($j^P={3\over 2}^-$ or $1^3D_1$) orbitally excited $D_s$ meson. $D_{s1}(2700)^\pm$ is very possible the first radially excited $1^-$ ($j^P={1\over 2}^-$ or $2^3S_1$) $D_s$ meson (the first radial excitation of $D^{\star\pm}_s(2112)^0$). $D^\star_{sJ}(2860)^+$ should be a $3^-$ ($j^P={5\over 2}^-$ or $1^3D_3$) orbitally excited $D_s$ meson, and $D_{sJ}(3040)^+$ is the first radially excited $1^+$ ($j^P={1\over 2}^+$) $D_s$ meson. Our conclusions are consistent with the most lately BaBar experiment.

hep-ph↗