عنوان

Nonlinear adiabatic evolution of quantum systems :

شابک

9789811326431

شابک

9789811326448

شابک

9811326436

شابک

9811326444

شابک اشتباه

9789811326424

شابک اشتباه

9811326428

عنوان اصلي

Nonlinear adiabatic evolution of quantum systems :

نام عام مواد

[Book]

ساير اطلاعات عنواني

geometric phase and virtual magnetic monopole /

نام نخستين پديدآور

Jie Liu, Sheng-Chang Li, Li-Bin Fu, Di-Fa Ye.

محل نشرو پخش و غیره

Singapore :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

[2018]

نام خاص و کميت اثر

1 online resource

متن يادداشت

Intro; Preface; Contents; 1 Introduction to Adiabatic Evolution; 1.1 Classical Adiabatic Motion; 1.1.1 Classical Adiabatic Invariant; 1.1.2 Adiabatic Geometric Angle-Hannay Angle; 1.1.3 Example I: One-Dimensional Harmonic Oscillator; 1.1.4 Example II: Celestial Two-Body Problem; 1.1.5 Example III: Foucault Pendulum; 1.2 Quantum Adiabatic Evolution; 1.2.1 Quantum Adiabatic Theorem; 1.2.2 Adiabatic Geometric Phase-Berry Phase; 1.2.3 Virtual Magnetic Monopole; 1.2.4 Nonadiabatic Geometric Phase-Aharonov-Anandan Phase; 1.2.5 Example I: Born-Oppenheimer Approximation.

متن يادداشت

1.2.6 Example II: Aharonov-Bohm Effect1.2.7 Example III: Adiabatic Quantum Computing; 1.2.8 Example IV: Geometric Quantum Computation; 1.2.9 Example V: Superadiabatic Quantum Driving; 1.3 Classical-Quantum Correspondence; 1.3.1 Bohr-Sommerfeld Quantization Rule; 1.3.2 Relation Between the Berry Phase and the Hannay Angle; 1.3.3 Nonadiabatic Geometric Phase and Hannay Angle in the Generalized Harmonic Oscillator; References; 2 Nonlinear Adiabatic Evolution of Quantum Systems; 2.1 Physical Origins of Nonlinearity; 2.1.1 Nonlinear Gross-Pitaevskii (GP) Equation; 2.1.2 Nonlinear Optical Fibers.

متن يادداشت

2.1.3 Nonlinear Atom-Molecule Conversion2.2 Nonlinear Adiabatic Evolution of Quantum States; 2.2.1 General Formalism; 2.2.2 Eigenstates; 2.2.3 Cyclic and Quasicyclic States; 2.2.4 Two-Level Model Illustration; 2.3 Nonlinear Adiabatic Geometric Phase; 2.3.1 Adiabatic Parameter Expansion; 2.3.2 Projective Hilbert Space Description; 2.3.3 Nonlinear Adiabatic Geometric Phase; 2.3.4 Two-Mode Model Illustration; References; 3 Quantum-Classical Correspondence of an Interacting Bosonic Many-Body System; 3.1 Commutability Between the Semiclassical Limit and the Adiabatic Limit; 3.1.1 Hamiltonian.

متن يادداشت

3.1.2 Semiclassical Limit and Adiabatic Limit3.1.3 Tunneling Rates; 3.1.4 Energy Band Structure; 3.1.5 Commutability Between Two Limits; 3.2 Quantum-Classical Correspondence of the Adiabatic Geometric Phase; 3.2.1 Interacting Bosonic Many-Body System; 3.2.2 Mean-Field Hamiltonian; 3.2.3 Quantum Berry Phase; 3.2.4 Classical Hannay Angle; 3.2.5 Connection Between the Berry Phase and the Hannay Angle; References; 4 Exotic Virtual Magnetic Monopoles and Fields; 4.1 Disk-Shaped Virtual Magnetic Field; 4.2 Fractional Virtual Magnetic Monopole; 4.3 Virtual Magnetic Monopole Chain; References.

متن يادداشت

5 Applications of Nonlinear Adiabatic Evolution5.1 Nonlinear Coherent Optical Coupler; 5.2 Nonlinear Landau-Zener Tunneling; 5.2.1 Two-Level System; 5.2.2 Three-Level System; 5.2.3 Spatially Magnetic Modulated Trap; 5.3 Nonlinear Rosen-Zener Tunneling; 5.4 Nonlinear Ramsey Interferometry; 5.5 Nonlinear Atom-Molecule Conversion; 5.5.1 Bosonic Atoms to Bosonic Molecules; 5.5.2 Fermionic Atoms to Bosonic Molecules; 5.6 Nonlinear Composite Adiabatic Passage; References; Index.

بدون عنوان

0

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8

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8

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8

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8

متن يادداشت

This book systematically introduces the nonlinear adiabatic evolution theory of quantum many-body systems. The nonlinearity stems from a mean-field treatment of the interactions between particles, and the adiabatic dynamics of the system can be accurately described by the nonlinear Schrödinger equation. The key points in this book include the adiabatic condition and adiabatic invariant for nonlinear system; the adiabatic nonlinear Berry phase; and the exotic virtual magnetic field, which gives the geometric meaning of the nonlinear Berry phase. From the quantum-classical correspondence, the linear and nonlinear comparison, and the single particle and interacting many-body difference perspectives, it shows a distinct picture of adiabatic evolution theory. It also demonstrates the applications of the nonlinear adiabatic evolution theory for various physical systems. Using simple models it illustrates the basic points of the theory, which are further employed for the solution of complex problems of quantum theory for many-particle systems. The results obtained are supplemented by numerical calculations, presented as tables and figures.

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9789811326431

شماره استاندارد بين المللي کتاب و موسيقي

9789811326424

موضوع مستند نشده

Adiabatic invariants.

موضوع مستند نشده

Geometric quantum phases.

موضوع مستند نشده

Adiabatic invariants.

موضوع مستند نشده

Atomic & molecular physics.

موضوع مستند نشده

Geometric quantum phases.

موضوع مستند نشده

Quantum physics (quantum mechanics & quantum field theory)

موضوع مستند نشده

SCIENCE-- Energy.

موضوع مستند نشده

SCIENCE-- Mechanics-- General.

موضوع مستند نشده

SCIENCE-- Physics-- General.

موضوع مستند نشده

Statistical physics.

موضوع مستند نشده

PHQ

موضوع مستند نشده

PHQ

موضوع مستند نشده

SCI-- 024000

موضوع مستند نشده

SCI-- 041000

موضوع مستند نشده

SCI-- 055000

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Liu, Jie

تاريخ عمليات

20200823235308.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y