24,225 research outputs found

    Quantum Phase Interference for Quantum Tunneling in Spin Systems

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    The point-particle-like Hamiltonian of a biaxial spin particle with external magnetic field along the hard axis is obtained in terms of the potential field description of spin systems with exact spin-coordinate correspondence. The Zeeman energy term turns out to be an effective gauge potential which leads to a nonintegrable pha se of the Euclidean Feynman propagator. The phase interference between clockwise and anticlockwise under barrier propagations is recognized explicitly as the Aharonov-Bohm effect. An additional phase which is significant for quantum phase interference is discovered with the quantum theory of spin systems besides the known phase obtained with the semiclassical treatment of spin. We also show the energ y dependence of the effect and obtain the tunneling splitting at excited states with the help of periodic instantons.Comment: 19 pages, no figure, to appear in PR

    Enhancement of Quantum Tunneling for Excited States in Ferromagnetic Particles

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    A formula suitable for a quantitative evaluation of the tunneling effect in a ferromagnetic particle is derived with the help of the instanton method. The tunneling between n-th degenerate states of neighboring wells is dominated by a periodic pseudoparticle configuration. The low-lying level-splitting previously obtained with the LSZ method in field theory in which the tunneling is viewed as the transition of n bosons induced by the usual (vacuum) instanton is recovered. The observation made with our new result is that the tunneling effect increases at excited states. The results should be useful in analyzing results of experimental tests of macroscopic quantum coherence in ferromagnetic particles.Comment: 18 pages, LaTex, 1 figur

    Periodic Bounce for Nucleation Rate at Finite Temperature in Minisuperspace Models

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    The periodic bounce configurations responsible for quantum tunneling are obtained explicitly and are extended to the finite energy case for minisuperspace models of the Universe. As a common feature of the tunneling models at finite energy considered here we observe that the period of the bounce increases with energy monotonically. The periodic bounces do not have bifurcations and make no contribution to the nucleation rate except the one with zero energy. The sharp first order phase transition from quantum tunneling to thermal activation is verified with the general criterions.Comment: 17 pages, 5 postscript figures include

    Quantum Phase Transition in Finite-Size Lipkin-Meshkov-Glick Model

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    Lipkin model of arbitrary particle-number N is studied in terms of exact differential-operator representation of spin-operators from which we obtain the low-lying energy spectrum with the instanton method of quantum tunneling. Our new observation is that the well known quantum phase transition can also occur in the finite-N model only if N is an odd-number. We furthermore demonstrate a new type of quantum phase transition characterized by level-crossing which is induced by the geometric phase interference and is marvelously periodic with respect to the coupling parameter. Finally the conventional quantum phase transition is understood intuitively from the tunneling formulation in the thermodynamic limit.Comment: 4 figure

    Dynamics and Berry phase of two-species Bose-Einstein condensates

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    In terms of exact solutions of the time-dependent Schrodinger equation for an effective giant spin modeled from a coupled two-mode Bose-Einstein condensate (BEC) with adiabatic and cyclic time-varying Raman coupling between two hyperfine states of the BEC, we obtain analytic time-evolution formulas of the population imbalance and relative phase between two components with various initial states, especially the SU(2)coherent state. We find the Berry phase depending on the number parity of atoms, and particle number dependence of the collapse revival of population-imbalance oscillation. It is shown that self-trapping and phase locking can be achieved from initial SU(2) coherent states with proper parameters.Comment: 18 pages,5 figure

    Periodic instanton method and macroscopic quantum tunneling between two weakly-linked Bose-Einstein condensates

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    A new method is used to investigate the tunneling between two weakly-linked Bose-Einstein condensates confined in double-well potential traps. The nonlinear interaction between the atoms in each well contributes to a finite chemical potential, which, with consideration of periodic instantons, leads to a remarkably high tunneling frequency. This result can be used to interpret the newly found Macroscopic Quantum Self Trapping (MQST) effect. Also a new kind of first-order crossover between different regions is predicted.Comment: 4 pages, 2 eps figures, final version to appear in Phys. Rev.

    Preparation and properties of resistant starch from corn starch with enzymes

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    Corn starch was subjected to enzymatic biotechnology with thermostable á-amylase and pullulanase and followed by retrogradation, to prepare resistant starch. The properties of selected resistant starch (RS) samples were also investigated. The result showed that, appropriate amount (0.5 U/g) of thermostable á-amylase was good for  resistant starch formation. The optimal condition for pullulanase hydrolysis was carried out with 0.8 PUN/g (dry starch) pullulanase in pH 5.5 starch gel at 60°C for 12 h. The highest yield of resistant starch could be obtained (19.02%) under optimal condition. The effect of pullulanase on resistant starch formation was the most significant. Compared with native starch, amylose content was increased by 17.0 to 28.1% and it did not increased with   enhancement of resistant starch content. The native starch showed A-type X-ray diffraction pattern, whereas RS products exhibited B-type pattern with strong intensity at the peak of 17.2°C 2è and two board peak at 20.1 and  23.9°C 2è. The transformation enthalpy of the second peak increased gradually with increasing RS content and the transformation peak temperature and Tc-T0 was also similar to this trend.Key words: Resistant starch, thermostable á-amylase, pullulanase, properties

    Chemical composition and antioxidant properties of the essential oil and methanol extracts of rhizoma Alpinia officinarum from China in vitro

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    This study was designed to examine the in vitro antioxidant activities of the essential oil and methanol extracts of rhizoma Alpinia officinarum (small galanga) from China. The essential oil was analyzed by gas chromatography/ mass spectrometry (GC/MS) and 46 constituents were identified. Methanol extract from rhizoma A. officinarum was fractionated by chromatography of silica gel using ethyl acetate, acetone-methanol (8:1, V/V) and methanol, respectively. The antioxidant activities of essential oil and methanol extracts were evaluated with reducing power, diphenylpicrylhydrazyl (DPPH) assay and ferric thiocyanate test. In the above three assays, the essential oil and methanol extracts showed antioxidant potential to varying degrees; and acetone-methanol (8:1, V/V) subfraction exhibited better antioxidant potency than others. Owing to having antioxidative components, the essential oil exhibited satisfying antioxidant activities. A positive correlation was observed between the antioxidant activity potential and total phenolic contents of the extracts

    Critical Property of Geometric Phase in the Dicke Model

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    We obtain the ground-state energy level and associated geometric phase in the Dicke model analytically by means of the Holstein-Primakoff transformation and the boson expansion approach in the thermodynamic limit. The non-adiabatic geometric phase induced by the photon field is derived with the time-dependent unitary transformation. It is shown that the quantum phase transition characterized by the non-analyticity of the geometric phase is remarkably of the first-order. We also investigate the scaling behavior of the geometric phase at the critical point, which can be measured in a practical experiment to detect the quantum phase transition.Comment: 1 figur
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