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Chin. Phys. B
Chin. Phys. B

... systems the two coupled degrees of freedom at each lattice site must be included, but this complicates also their investigation. Even when a continuum limit is taken, the equations of motion couple two fields so that they are difficult to solve in the above models. For instance, no exact analytical ...
cosmological perturbation theory - The Institute of Mathematical
cosmological perturbation theory - The Institute of Mathematical

Wu-yen Chuang Curriculum Vitae
Wu-yen Chuang Curriculum Vitae

... • B.S. in Physics, National Tsing-Hua University, Taiwan, first place upon graduation, 1998 • Military Service, Second Lieutenant in Armored Troops, 1999–2001 [Research Interests] • My research focuses on mathematical physics, string theory, and mathematics inspired by string theory. I have worked o ...
98, 010506 (2007)
98, 010506 (2007)

... To see what happens to the zero-energy state in the strong-pairing phase, this phase can be most simply accessed, in the spirit of Ref. [5], by continuing to use the weak-coupling mean-field BCS theory even in the presence of strong attractive coupling and taking  < 0. Even in this heuristic spirit ...
Slides
Slides

... motion of the Cooper pairs makes the order parameter more complicated. But turbulence in 3He-B (but not in 3He-A) turns out to be quite similar to that in 4He, although • The coherence length is larger and the vortex core has a more complicated structure, providing another path to dissipation. • The ...


... Abstract A Schrödinger type equation for a mathematical probability amplitude (x, t) is derived from the generalized phase space Liouville equation valid for the motion of a microscopic particle, with mass M and charge e, moving in a potential V (x). The particle phase space probability density is ...
1 Introduction. Measurable and Nonmea
1 Introduction. Measurable and Nonmea

A phase-space study of the quantum Loschmidt Echo in the
A phase-space study of the quantum Loschmidt Echo in the

... introduced in order to study the (in)-stability of the quantum dynamics under perturbations of the Hamiltonian. It has been extensively studied in the past few years in the physics literature, in connection with the problems of “quantum chaos”, quantum computation and decoherence. In this paper, we ...
Entanglement Spectrum MIT 2016
Entanglement Spectrum MIT 2016

PPT - Fernando Brandao
PPT - Fernando Brandao

... For topologically trivial systems (AKLT, Heisenberg models): entanglement spectrum matches the energies of a local Hamiltonian on boundary For topological systems (Toric code): needs non-local Hamiltonian ...
M. Sc. Courses in Physics (Session 2016
M. Sc. Courses in Physics (Session 2016

The classical entropy of quantum states=110ptJoint work with Elliott
The classical entropy of quantum states=110ptJoint work with Elliott

... (’79) suggested a definition of their classical entropy based on the coherent state transform. He conjectured that this classical entropy is minimized by states that also minimize the Heisenberg uncertainty inequality, i.e., Gaussian coherent states. Lieb (’78) proved this conjecture and conjectured ...
Topological insulators and superconductors
Topological insulators and superconductors

An Effective Quantum Potential for Particle
An Effective Quantum Potential for Particle

Collective potential for large-N Hamiltonian matrix models and free Fisher information
Collective potential for large-N Hamiltonian matrix models and free Fisher information

... N limit to capture features of the theory that the usual perturbation expansion misses. They are crucial in determining the ground state of the matrix model. Is it possible to understand them directly in the large N limit? In this paper we show that this universal term has a natural meaning in the w ...
Introduction - Princeton University Press
Introduction - Princeton University Press

... same symmetry. In the field of topological insulators, topological is usually associated with the existence of gapless edge modes when a system is spatially cut in two, but this is not the generic situation; topological phases or even insulators can exist without the presence of gapless edge modes. ...
TWO-STATE SYSTEMS
TWO-STATE SYSTEMS

Effective Field Theories, Reductionism and Scientific Explanation
Effective Field Theories, Reductionism and Scientific Explanation

Dynamical quantum-electrodynamics embedding: Combining time
Dynamical quantum-electrodynamics embedding: Combining time

... Although the optical responses of nanostructures can be described by classical electrodynamics, the electronic dynamics in molecule can only be correctly studied by quantum mechanics. Recently, ab initio calculations such as time-dependent density functional theory (TDDFT) have been performed to und ...
Chapter 2 Wave Mechanics and the Schrödinger equation
Chapter 2 Wave Mechanics and the Schrödinger equation

A short history of fractal-Cantorian space-time
A short history of fractal-Cantorian space-time

... ¼ /1 ¼ 4 þ /3 , (see Figs. 9 and 10) [8]. D ¼ 521 ¼ / lifted to four dimensions /1 If we project the space-time of vacuum fluctuation on a Poincaré circle we will see a hyperbolic tessellation of this circle with predominantly Klein-curve-like geometry. This is an important  part of El Naschie’s t ...
pdf - Martijn Wubs
pdf - Martijn Wubs

... have not been explored so far, for example, to manipulate single photons. More fundamentally, it is an important open question whether the same effective-medium parameters suffice to describe the propagation of quantum states of light in metamaterials. The constituents and geometry of a unit cell ca ...
The non-equilibrium Green`s function method
The non-equilibrium Green`s function method

Electric fields and quantum wormholes
Electric fields and quantum wormholes

... charge spectrum in theories of quantum gravity have been conjectured on different grounds [32]. To quantify this, for any state jψi of either system we define a dimensionless quantity called the “wormhole electric susceptibility” χ Δ , χ Δ ≡ hψjΦ2Δ jψi; ...
A Variational Approach to the Schrödinger–Poisson System
A Variational Approach to the Schrödinger–Poisson System

... of the wave function k, solution to the 3-D Schrödinger–Poisson system (SPS). Actually, we are interested in giving an insight on the quantum mechanical dynamics of a single particle in vacuum or a polar crystal (the polaron problem), and elucidating about its qualitative behaviour depending on the ...
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Instanton

An instanton (or pseudoparticle) is a notion appearing in theoretical and mathematical physics. An instanton is a classical solution to equations of motion with a finite, non-zero action, either in quantum mechanics or in quantum field theory. More precisely, it is a solution to the equations of motion of the classical field theory on a Euclidean spacetime.
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