We present a nonrelativistic Hamiltonian of the interaction between moving mirror and radiation pressure. This is derived directly from equation motion mirror, wave with time-varying boundary conditions. discuss canonical quantization both field mirror.

We examine the internal structure of ground states a trapped Bose-Einstein condensate in which atoms have three hyperfine spins. determine set collective spin minimize interaction energy between atoms. also dynamics an initially polarized condensate. The time scale spin-mixing is predicted.

We examine the quantum structure of continuum entanglement and in context short-pulse down-conversion we answer open question how many uncountably frequency modes contribute effectively to entanglement. derive a set two-photon mode functions that provide an exact, discrete, finite basis for characterizing pairwise Our analysis provides entropy control pulses generated from down-conversion.

We present a cavity QED interaction which forces the ground state of field mode to evolve into an arbitrary quantum at prechosen time ${t}^{*}$. This method does not involve either atom-field entanglement or projections characteristic measurement.

Quantum entanglement associated with transverse wave vectors of down conversion photons is investigated based on the Schmidt decomposition method. We show that involves two variables: orbital angular momentum and frequency. in monochromatic limit high values are closely controlled by a single parameter resulting from competition between (transverse) conservation longitudinal phase matching. examine features eigenmodes, indicate how can be enhanced suitable mode selection methods.

We study the quantized field in a one-dimensional electromagnetic resonant cavity. The cavity contains linear and lossless dielectric medium with frequency-independent polarizability. permittivity is an externally prescribed function of both space time. also allow one cavity's mirrors to move given trajectory. Unlike other previous studies on same system, we formulate effective Hamiltonian so that dynamics can be described Schr\"odinger picture. quadratic structure, therefore two-photon...

We study the spin-mixing dynamics of an $f=1$ spinor condensate. show that is sensitive to relative phase and particle number distribution among individual components condensate, find complex structures can develop in density profiles during time evolution. investigate different scales process their dependence on total number.

Abstract The vaporization and combustion of a miscible multicomponent droplet in quiescent atmosphere is analyzed by assuming transient‐diffusive transport within the droplet, quasi steady diffusive‐convective gas phase, ideal solution behavior for mixture. Results on binary show that owing to significant liquid phase diffusional resistance, process approximately consists an initial transient regime, intermediate, diffusion limited, almost final volatility limited regime. It further...

Following the first case in Hong Kong 1998, method of committing suicide by charcoal burning has spread to other communities. This aim this study was examine impact suicides on both overall rates and older-method urban Taiwan.Trend analysis method-specific between 1997 2002. Comparison age gender profiles those who committed methods suicide.Hong Urban Taiwan.Suicides increased rapidly within five years Taiwan. increase not paralleled decreases older led an more than 20% rates. Those 24-39...

We investigate the transport properties of two photons inside a one-dimensional waveguide side-coupled to single-mode nonlinear cavity. The cavity is filled with Kerr medium. Based on Laplace transform method, we present an analytic solution for quantum states transmitted and reflected photons, which are initially prepared in Lorentzian wave packet. reveals how correlation between emerges after scattering by In particular, show that output function position space can be localized relative...

We propose a method to generate quadrature squeezed states of moving mirror in Fabry-Perot cavity. This is achieved by exploiting the fact that when cavity driven an external field with large detuning, behaves as parametric oscillator. show resonance can be reached approximately modulating driving amplitude at frequency matching shift mirror. The leads efficient generation squeezing, which limited thermal noise environment.

We present an exact analytical solution of the two-photon scattering in a cavity optomechanical system. This is achieved by solving quantum dynamics total system, including and cavity-field environment, with Laplace transform method. The long-time reveals detailed physical processes involved as well corresponding resonant photon frequencies. characterize correlation induced process calculating joint spectrum state. Clear evidence for frequency anticorrelation can be observed spectrum. In...

We present an analytic solution describing the quantum state of a single photon after interacting with moving mirror in cavity. This includes situations when is initially stored cavity mode as well injected into In addition, we obtain spectrum output resolved-sideband limit, which reveals spectral features single-photon strong-coupling regime this system. also clarify conditions under phonon sidebands are visible and photon-state frequency shift can be resolved.

We present an exact analytic solution to describe the quantum dynamics of vacuum field coupled with oscillating boundary (mirror) in a one-dimensional cavity. show that finite part energy density grows form two traveling wave packets which become narrower as time increases. also discover "sub-Casimir" region where can be even smaller than corresponding static value.

Abstract We report a high efficiency scheme for generating single-photon state transmitted out of an optical cavity. For realistic cavity QED parameters, we show that the can produce pulse with probability exceeding 99% in user-specified time interval. By recycling system, be used to create bit-stream pulses.

We consider the intrinsic stability of vortex states a pure Bose-Einstein condensate confined in harmonic potential under effects coherent atom-atom interaction. find that stable vortices can be supported and controlled by changing interparticle interaction strength. At unstable regimes, will spontaneously disintegrate into with different angular momenta even without external perturbations, lifetime determined its imaginary excitation frequencies.

We investigate the interaction between a single photon and chain of $N$ equally spaced two-level atoms inside one-dimensional waveguide. By solving eigenvectors Hamiltonian in subspace with excitation, we address quantum interference effects two physical processes. First, analyze scattering when are all initially at their ground states. discover set transmission peaks determined by $N$. These narrow sensitive to relative position atoms. Second, examine spontaneous emission from an excited...

We propose an approach to enhance the mechanical effects of single photons in a two-mode optomechanical system. This is achieved by introducing resonance-frequency modulation cavity fields. When frequency and amplitude satisfy certain conditions, displacement induced could be larger than quantum zero-point fluctuation oscillating resonator. method can used create distinct superposition states.

We investigate theoretically the quantum Rabi model in large-detuning regime. When frequency of cavity field is near one-third atomic transition frequency, we show that there exists a resonant three-photon coupling via intermediate states connected by counter-rotating processes. derive an effective Hamiltonian coupling, which determines magnitude energy splitting and position resonance analytically. In addition, present scheme generation based on adiabatic passage across resonance.

We identify an eigenvalue associated with a dilute two-species Bose-Einstein condensate as the determiner of stability. It plays same role sign scattering length in one-species condensate. predict that there is range interspecies interaction strength which sodium-rubidium mixture can be stable harmonic trap.

We examine the spin-squeezing phenomena in a collection of interacting spins presence an external field. show that combination field and nonlinear atom-atom interaction leads to strong reduction spin fluctuations can be maintained extended period time. Our results applied achieve squeezing spinor Bose condensate.