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Conical intersections are ubiquitous in polyatomic molecules and responsible for a wide range of phenomena in chemistry and physics. We introduce and implement a local diabatic representation for the correlated electron-nuclear dynamics…

量子物理 · 物理学 2023-10-18 Bing Gu

In previous work, it was shown that non-trivial gapped states can be generated from a product state using a sequential quantum circuit. Explicit circuit constructions were given for a variety of gapped states at exactly solvable fixed…

强关联电子 · 物理学 2025-10-29 Xie Chen , Michael Hermele , David T. Stephen

The paper deals with non-equilibrium thermodynamics based on adiabatic particle creation mechanism with the motivation of considering it as an alternative choice to explain the recent observed accelerating phase of the universe. Using…

广义相对论与量子宇宙学 · 物理学 2015-04-14 Supriya Pan , Subenoy Chakraborty

Based only on the parallel transport condition, we present a general method to compute Abelian or non-Abelian geometric phases acquired by the basis states of pure or mixed density operators, which also holds for nonadiabatic and noncyclic…

量子物理 · 物理学 2008-04-17 E. I. Duzzioni , R. M. Serra , M. H. Y. Moussa

We analyze the influence of a dissipative environment on geometric phases in a quantum system subject to non-adiabatic evolution. We find dissipative contributions to the acquired phase and modification of dephasing, considering the cases…

量子物理 · 物理学 2016-07-20 A. E. Svetogorov , Yu. Makhlin

The task of finding a consistent relationship between a quantum Hamiltonian and a classical Lagrangian is of utmost importance for basic, but ubiquitous techniques like canonical quantization and path integrals. Nonconvex kinetic energies…

介观与纳米尺度物理 · 物理学 2025-09-01 C. Koliofoti , M. A. Javed , R. -P. Riwar

We consider the propagation of wave packets for a one-dimensional nonlinear Schrodinger equation with a matrix-valued potential, in the semi-classical limit. For an initial coherent state polarized along some eigenvector, we prove that the…

偏微分方程分析 · 数学 2011-09-22 Rémi Carles , Clotilde Fermanian Kammerer

We introduce the idea of using adiabatic rotation to generate superpositions of a large class of quantum states. For quantum computing this is an interesting alternative to the well-studied "straight line" adiabatic evolution. In ways that…

量子物理 · 物理学 2009-11-13 M. Stewart Siu

We show that it is possible to use a classical computer to efficiently simulate the adiabatic evolution of a quantum system in one dimension with a constant spectral gap, starting the adiabatic evolution from a known initial product state.…

量子物理 · 物理学 2013-05-29 M. B. Hastings

We explore the defect formation and universally critical dynamics in two-dimensional (2D) two-component Bose-Einstein condensates(BECs) subjected to two types of potential traps: a homogeneous trap and a harmonic trap.We focus on the…

量子气体 · 物理学 2023-11-15 Yikai Ji , Xizhou Qin , Bin Liu , Yongyao Li , Bo Lu , Xunda Jiang , Chaohong Lee

In a recent letter [Phy. Rev. Lett. 95, 080502 (2005)], it is claimed that based on a new kind of quantum mechanical phase of wave function which is neither dynamical nor geometrical a new kind of phase gate for quantum computation is…

量子物理 · 物理学 2007-07-25 Hua Zhong Li

Quantum adiabatic evolutions find a broad range of applications in quantum physics and quantum technologies. The traditional form of the quantum adiabatic theorem limits the speed of adiabatic evolution by the minimum energy gaps of the…

Paradoxes in the Boltzmann kinetic theory are presented. Firstly, it is pointed out that the usual notion concerning the perfect continuity of distribution function is not generally valid; in many important situations using certain types of…

经典物理 · 物理学 2007-05-23 C. Y. Chen

The evolution of non-adiabatic perturbations in models with multiple coupled perfect fluids with non-adiabatic sound speed is considered. Instead of splitting the entropy perturbation into relative and intrinsic parts, we introduce a set of…

广义相对论与量子宇宙学 · 物理学 2011-05-12 N. A. Koshelev

We consider the time-dependence of the Higgs vacuum expectation value (vev) given by the dynamics of the Standard Model and study the non-adiabatic production of both bosons and fermions, which is intrinsically non-perturbative. In the…

高能物理 - 理论 · 物理学 2008-11-26 R. Casadio , P. L. Iafelice , G. P. Vacca

We study Bose-Einstein condensate in the combined presence of time modulated optical lattice and harmonic trap in the mean-field approach. Through the self-similar method, we show the existence of sinusoidal lattice modes in this…

量子气体 · 物理学 2015-11-04 Priyam Das , Prasanta K. Panigrahi

The notion of spontaneous symmetry breaking has been well established to characterize classical and quantum phase transitions of matter, such as in condensation, crystallization or quantum magnetism. Generalizations of this paradigm to the…

Adiabatic limit is the presumption of the adiabatic geometric quantum computation and of the adiabatic quantum algorithm. But in reality, the variation speed of the Hamiltonian is finite. Here we develop a general formulation of adiabatic…

量子物理 · 物理学 2009-11-10 Yu Shi , Yong-Shi Wu

We show that the difference of adiabatic phases, that are basis-dependent, in noncyclic evolution of non-degenerate quantum systems have to be taken into account to give the correct interference result in the calculation of physical…

量子物理 · 物理学 2009-08-07 M. T. Thomaz , A. C. Aguiar Pinto , M. Moutinho

The goal of adiabatic ground-state preparation is to start a simple quantum system in its ground state and adiabatically evolve the Hamiltonian to a complex one, maintaining the ground state throughout the evolution. In ion-trap-based…

量子物理 · 物理学 2016-05-04 M. H. Lim , B. T. Yoshimura , J. K. Freericks