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Work done and irreversible entropy production in a suddenly quenched quantum spin chain with asymmetrical excitation spectra

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Physical Review E 2015年第3期91卷 032137-032137页

作者： Ming Zhong Peiqing Tong Department of Physics and Institute of Theoretical Physics Nanjing Normal University Nanjing 210023 People's Republic of China Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal University Nanjing 210023 People's Republic of China and Kavli Institute for Theoretical Physics China CAS Beijing 100190 People's Republic of China

In this paper, we extend the studies on the emergent thermodynamics in a quenched quantum Ising chain (QIC) [R. Dorner, J. Goold, C. Cormick, M. Paternostro, and V. Vedral, Phys. Rev. Lett. 109, 160601 (2012)] to a more general quantum spin chain with asymmetrical excitation spectra. We verify that the Jarzynski and Tasaki-Crooks relations are still tenable in this system. As an example, we discuss the behaviors of the work done and irreversible entropy production induced by a sudden quenching in the anisotropic XY chain in a transverse field with the XZY-YZX type of three-site interactions. Different from the QIC, this system has the phase transitions not only between two gapped phases, but also between gapped (or gapless) and gapless phases at zero temperature. We discuss the effects of quantum phase transitions on the work done and irreversible entropy production at low temperature.

关键词： ISING model THERMODYNAMICS QUANTUM systems QUANTUM phase transitions LOW temperature physics

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Summation of Divergent Series and Quantum Phase Transitions in Kitaev Chains with Long-Range Hopping

arXiv

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arXiv 2023年

作者： Fu, Hao Tong, Peiqing School of Mathematical Sciences Nanjing Normal University Nanjing210023 China School of Physics and Technology Nanjing Normal University Nanjing210023 China Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal University Nanjing210023 China

We study the quantum phase transitions (QPTs) in extended Kitaev chains with long-range (1/rα) hopping. Formally, there are two QPT points at µ = µ0(α) and µπ(α) (µ is the chemical potential) which correspond to the summations of (formula presented) and (formula presented), respectively. When α ≤ 0, both the series are divergent and it is usually believed that no QPTs exist. However, we find that there are two QPTs at µ = µ0(0) and µπ(0) for α = 0 and one QPT at µ = µπ(α) for α 0 and induces topological phases with the winding number ω := ±1/2. At the same time, the von Neumann entropy are power law of the subchain length L no matter in the gapped region or not. In addition, we also study the QPTs, topological properties, and von Neumann entropy of the systems with α > 0. Copyright © 2023, The Authors. All rights reserved.

关键词： Topology

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The Schrödinger equation for general non-hermitian quantum system

arXiv

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arXiv 2017年

作者： Xiong, Ye Tong, Peiqing Department of Physics and Institute of Theoretical Physics Nanjing Normal University Nanjing210023 China National Laboratory of Solid State Microstructures Nanjing University Nanjing210093 China Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal University Nanjing210023 China

We derive a new time-dependent Schrödinger equation(TDSE) for quantum models with nonhermitian Hamiltonian. Within our theory, the TDSE is symmetric in the two Hilbert spaces spanned by the left and the right eigenstates, respectively. The physical quantities are also identical in these two spaces. Based on this TDSE, we show that exchanging two quasi-particles in a non-hermitian model can generate arbitrary geometric phase. The system can also violate the Lieb-Robinson bound in non-relativistic quantum mechanics so that an action in one place will immediately cause a change in the distance. We show that the above two surprising behaviors can also appear in anyonic model, which makes us propose that the non-hermitian single particle model may possess many common features with anyonic model. Copyright © 2017, The Authors. All rights reserved.

关键词： Quantum optics

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Quasi-two-body decays B(s)→D(ρ(1450), ρ(1700))→Dππ in the perturbative QCD factorization approach

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Physical Review D 2017年第9期96卷 093011-093011页

作者： Ai-Jun Ma Ya Li Wen-Fei Wang Zhen-Jun Xiao Department of Physics and Institute of Theoretical Physics Nanjing Normal University Nanjing Jiangsu 210023 People’s Republic of China Institute of Theoretical Physics Shanxi University Taiyuan Shanxi 030006 People’s Republic of China Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal University Nanjing Jiangsu 210023 People’s Republic of China

By employing a framework for the quasi-two-body decays in the perturbative QCD (PQCD) factorization approach, we calculate the branching ratios of the decays B(s)→D(ρ(1450), ρ(1700))→Dππ with D=(D(s),D¯(s)). The pion vector form factor Fπ, acquired from a BABAR Collaboration analysis of e+e−→π+π−(γ) data, is involved in the two-pion distribution amplitudes ΦππI=1. The PQCD predictions for the branching ratios of the considered quasi-two-body decays are in the range of 10−10–10−4. The PQCD predictions for B(B0→D¯0(ρ0(1450),ρ0(1700))→D¯0π+π−) agree well with the measured values as reported by LHCb if one takes still large theoretical errors into account. Unlike the traditional way of the PQCD approach, one can extract the decay rates for the two-body decays B(s)→D(ρ(1450),ρ(1700)) from the results of the corresponding quasi-two-body decays. The PQCD predictions for B(B(s)→Dρ(1450)) and B(B(s)→Dρ(770)) are similar in magnitude: an interesting relation to be tested by future experimental measurements.

关键词： Electroweak interaction Form factors Particle decays Particle phenomena

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Next-to-leading order corrections to B→ρ transition in the kT factorization

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Physical Review D 2019年第1期99卷 016007-016007页

作者： Jun Hua Ya-Lan Zhang Zhen-Jun Xiao Department of Physics and Institute of Theoretical Physics Nanjing Normal University Nanjing Jiangsu 210023 People’s Republic of China Department of Faculty of Mathematics and Physics Huaiyin Institute of Technology Huaian Jiangsu 223001 People’s Republic of China Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal University Nanjing 210023 People’s Republic of China

In this paper, we investigate the factorization hypothesis step by step for the exclusive process B→ρ at next-to-leading order (NLO), and then we extend our results to the kT factorization frame. We show that the soft divergence from the specific NLO diagrams will cancel each other at the quark level, while the remaining collinear divergence can be absorbed into the NLO wave functions of the mesons involved. The full NLO amplitudes can be factorized into two parts: the B meson and the ρ meson NLO wave functions containing the collinear divergence and the finite leading order hard kernels. We give the general expressions of the nonlocal hadron matrix for the NLO B meson and ρ meson wave functions and the analytical results of factorization for the combinations of different twist parts.

关键词： Form factors

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Perturbative QCD factorization of ργ⋆→ρ

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Physical Review D 2016年第3期93卷 036002-036002页

作者： Ya-lan Zhang Shan Cheng Jun Hua Zhen-Jun Xiao Department of Physics and Institute of Theoretical Physics Nanjing Normal University Nanjing Jiangsu 210023 People’s Republic of China Theoretische Elementarteilchenphysik Naturwissenschaftlich Technische Fakultät Universiät Siegen 57068 Siegen Germany Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal University Nanjing 210023 People’s Republic of China

In this paper we first demonstrate step by step that the factorization hypothesis is valid at the next-to-leading order (NLO) for the exclusive process ργ⋆→ρ by employing the collinear factorization approach, and then extend this proof to the case of the kT factorization by taking into account the transversal momentum of the light external quark (antiquark) lines in the ρ meson. At the NLO level, we then show that the soft divergences from different subdiagrams will cancel each other in the quark level, while the remaining collinear divergences can be absorbed into the NLO meson wave functions. The full NLO amplitudes can therefore be factorized as the convolution of the NLO wave functions Φρ(1) and the infrared-finite leading order (LO) hard kernels GX,IJ,kl0 in the kT factorization. We also write down the polarized NLO ρ meson wave functions in the form of nonlocal hadron matrix elements with the gauge factor integral path deviating from the light cone. These NLO ρ meson wave functions can be used to calculate the NLO hard corrections to some relevant exclusive processes, such as B→ρ transition.

关键词： Perturbative QCD Scattering amplitudes Mesons

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ργ*→π(ρ) transition form factors in the perturbative QCD factorization approach

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Physical Review D 2015年第9期92卷 094031-094031页

作者： Ya-Lan Zhang Shan Cheng Jun Hua Zhen-Jun Xiao Department of Physics and Institute of Theoretical Physics Nanjing Normal University Nanjing Jiangsu 210023 People’s Republic of China Theoretische Elementarteilchenphysik Naturwissenschaftlich Technische Fakultät Universiät Siegen 57068 Siegen Germany Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal University Nanjing 210023 People’s Republic of China

In this paper, we studied the ργ*→π and ργ*→ρ transition processes and made the calculations for the ρπ transition form factor Q4Fρπ(Q2) and the ρ-meson electromagnetic form factors, FLL,LT,TT(Q2) and F1,2,3(Q2), by employing the perturbative QCD (PQCD) factorization approach. For the ργ*→π transition, we found that the contribution to form factor Q4Fρπ(Q2) from the term proportional to the distribution amplitude combination ϕρT(x1)ϕπP(x2) is absolutely dominant, and the PQCD predictions for both the size and the Q2-dependence of this form factor Q4Fρπ(Q2) agree well with those from the extended anti-de Sitter/QCD models or the light-cone QCD sum rule. For the ργ*→ρ transition and in the region of Q2≥3 GeV2, furthermore, we found that the PQCD predictions for the magnitude and their Q2-dependence of the F1(Q2) and F2(Q2) form factors agree well with those from the QCD sum rule, while the PQCD prediction for F3(Q2) is much larger than the one from the QCD sum rule.

关键词： Perturbative quantum chromodynamics Wave functions Factorization method (Quantum theory)

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B¯s0→Kπ,KK decays and effects of the next-to-leading order contributions

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Physical Review D 2014年第7期89卷 074046-074046页

作者： Jing-Jing Wang Dong-Ting Lin Wen Sun Zhong-Jian Ji Shan Cheng Zhen-Jun Xiao Department of Physics Institute of Theoretical Physics Nanjing Normal University Nanjing Jiangsu 210023 People’s Republic of China Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal University Nanjing 210023 People’s Republic of China

By employing the perturbative QCD (pQCD) factorization approach, we calculate the branching ratios and charge parity (CP)-violating asymmetries of the four B¯s0→Kπ and KK decays, with the inclusion of all known next-to-leading order (NLO) contributions. We find numerically that (a) the NLO contribution can interfere with the leading order (LO) part constructively or destructively for different decay modes; (b) the NLO contribution leads to a 22% decrease for the central values of the LO pQCD prediction for Br(B¯s0→K+π−), but ∼50% enhancement to the other three considered B¯s decays, the agreement between the central values of the pQCD predictions and the data are therefore improved effectively after the inclusion of the NLO contributions; (c) for both B¯s0→K+π− and B¯s0→K+K− decays, the NLO pQCD predictions for the direct and mixing induced CP-violating asymmetries agree well with the measured values in both the sign and the magnitude; and (d) the theoretical errors of the pQCD predictions for decay rates are about 35% of the cental values and larger than that of the relevant data.

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Study of Bs→K(*)ℓ+ℓ− decays in the PQCD factorization approach with lattice QCD input

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Physical Review D 2020年第1期102卷 013001-013001页

作者： Su-Ping Jin Xue-Qing Hu Zhen-Jun Xiao Department of Physics and Institute of Theoretical Physics Nanjing Normal University Nanjing Jiangsu 210023 People’s Republic of China Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal University Nanjing 210023 People’s Republic of China

In this paper, we studied systematically the semileptonic decays B¯s→K(*)ℓ+ℓ− with l−=(e−,μ−,τ−) by using the perturbative QCD (PQCD) and the “PQCD+Lattice” factorization approach, respectively. We first evaluated all relevant form factors Fi(q2) in the low-q2 region using the PQCD approach, and we also took the available lattice QCD results at the end point qmax2 as additional inputs to improve the extrapolation of the form factors to the high-q2 region. We calculated the branching ratios and twelve other kinds of physical observables. From our studies, we find the following points: (a) for B¯s→Kl+l− decays, the PQCD and PQCD+Lattice predictions for branching ratios B(B¯s→Kl+l−), the ratios of the branching ratios RKeμ and RKμτ, and the longitudinal polarization asymmetry of the leptons PL agree well within errors; (b) the PQCD and PQCD+Lattice predictions for the CP-averaged branching ratio B(B¯s→K*μ+μ−) are (3.17−0.78+0.95)×10−8 and (2.48−0.50+0.56)×10−8 respectively, which agree well with the LHCb measured value (2.9±1.1)×10−8 and the light-cone sum rule prediction; (c) for the ratios RK*eμ and RK*μτ, the PQCD and PQCD+Lattice predictions agree well with each other and have a small error less than 10%; (d) for the direct CP asymmetries ACP of all considered decay modes, they are always very small as expected: less than 5% in magnitude; (e) for the angular observables P1,2,3 and P4,5,6,8′, our theoretical predictions for each kind of lepton are consistent within errors; (f) the theoretical predictions of the angular observables P3 and P6′ are less than 10−2 in size, but the magnitude of P1,2 and P4,5′ are larger than 0.2; and (g) the PQCD and PQCD+Lattice predictions of the binned values of all considered observables in the two q2 bins [0.1–0.98] GeV2 and [1.1–6] GeV2 generally agree with each other and are also consistent with the light-cone sum rule results within errors. We believe that above predictions could be tested by future LHCb and Belle-II experiment

关键词： Electroweak interaction Flavor changing neutral currents Form factors Particle interactions Particle phenomena

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B(s) → ηc(P, V) decays and effects of the next-to-leading order contributions in the perturbative QCD approach

arXiv

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arXiv 2019年

作者： Xiao, Zhen-Jun Yan, Da-Cheng Liu, Xin Department of Physics Institute of Theoretical Physics Nanjing Normal University Nanjing Jiangsu210023 China Jiangsu Key Laboratory for Numerical Simulation of Large Scale Complex Systems Nanjing Normal University Nanjing Jiangsu210023 China School of Mathematics and Physics Changzhou University Changzhou213164 China Department of Physics Jiangsu Normal University Xuzhou221116 China

By employing the perturbative QCD (PQCD) factorization approach, we studied the sixteen B/Bs → ηc(π, K, η(′), ρ, K∗, ω, φ) decays with the inclusion of the currently known next-to-leading order (NLO) contributions. We found the following main points: (a) for the five measured B → ηc(K, K∗) and Bs → ηcφ decays, the NLO contributions can provide (80 − 180)% enhancements to the leading order (LO) PQCD predictions of their branching ratios, which play an important role to help us to interpret the data;(b) for the seven ratios R1,···,7 of the branching ratios defined among the properly selected pair of the considered decay modes, the PQCD predictions for the values of R3,4,5 agree well with those currently available BaBar and Belle measurements;(c) for B0 → ηcKS0 decay, the PQCD predictions for both the direct and mixing induced CP asymmetries do agree very well with the measured values within errors;and (d) the PQCD predictions for ratios R1,2 and R6,7 also agree with the general expectations and will be tested by the future experiments. Copyright © 2019, The Authors. All rights reserved.

关键词： Forecasting

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