Lecture 1
... Spin of elementary particles has nothing to do with rotation, does not depend on coordinates and , and is purely a quantum mechanical phenomena. ...
... Spin of elementary particles has nothing to do with rotation, does not depend on coordinates and , and is purely a quantum mechanical phenomena. ...
Spin-Orbit Interactions in Topological Insulators
... a new class of materials that recently has been theoretically predicted and produced in laboratory. An overview of topological insulators is given in chapter 2 and a simple tight binding model is used in chapter 3 to derive the bulk band structure of the two dimensional spin orbit induced topologica ...
... a new class of materials that recently has been theoretically predicted and produced in laboratory. An overview of topological insulators is given in chapter 2 and a simple tight binding model is used in chapter 3 to derive the bulk band structure of the two dimensional spin orbit induced topologica ...
Fractional topological insulators
... Two quantum numbers characterizing a fractional state: n– the (spin) Hall conductivity e* - the smallest charge allowed for an excitation The question – can the edge states be gapped out without breaking time reversal symmetry ? The answer is determined by the parity of n/e*: ...
... Two quantum numbers characterizing a fractional state: n– the (spin) Hall conductivity e* - the smallest charge allowed for an excitation The question – can the edge states be gapped out without breaking time reversal symmetry ? The answer is determined by the parity of n/e*: ...
Ground-state properties of sub-Ohmic spin
... off-diagonal coupling is a challenging problem from the theoretical point of view. Recent studies [16] utilized the Davydov D1 variational Ansatz to investigate the quantum phase transition of the spin-boson model in the sub-Ohmic regime with the spin coupled diagonally and off-diagonally to a commo ...
... off-diagonal coupling is a challenging problem from the theoretical point of view. Recent studies [16] utilized the Davydov D1 variational Ansatz to investigate the quantum phase transition of the spin-boson model in the sub-Ohmic regime with the spin coupled diagonally and off-diagonally to a commo ...
Disorder-induced order with ultra-cold atoms
... In order to study disorder effects, it is hugely beneficial and often indispensable to control the disordered quantity. In most solid states systems, however, disorder originates from noisy experimental parameters and is thus very difficult to control. In recent years, ultra-cold atomic gases have b ...
... In order to study disorder effects, it is hugely beneficial and often indispensable to control the disordered quantity. In most solid states systems, however, disorder originates from noisy experimental parameters and is thus very difficult to control. In recent years, ultra-cold atomic gases have b ...
Kondo Screening Cloud Around a Quantum Dot
... cloud. In the strong coupling limit of the EQD the screening electron goes into the symmetric orbital on sites 1 and 1. This allows resonant transmission through the antisymmetric orbital on these sites and the ideal sawtoothlike j of a free ring occurs when the system is at 1=2-filling. On the oth ...
... cloud. In the strong coupling limit of the EQD the screening electron goes into the symmetric orbital on sites 1 and 1. This allows resonant transmission through the antisymmetric orbital on these sites and the ideal sawtoothlike j of a free ring occurs when the system is at 1=2-filling. On the oth ...
Nucleus-mediated spin-flip transitions in GaAs quantum dots
... transitions between the above-described states occur, since the nuclear spin-flip cannot relax the excessive initial-state energy. 共The energy associated with a nuclear spin is the nuclear Zeeman, ប n , energy which is three orders of magnitude smaller than the electron Zeeman energy and the energ ...
... transitions between the above-described states occur, since the nuclear spin-flip cannot relax the excessive initial-state energy. 共The energy associated with a nuclear spin is the nuclear Zeeman, ប n , energy which is three orders of magnitude smaller than the electron Zeeman energy and the energ ...
Two-orbital SU(N) magnetism with ultracold alkaline-earth
... Fermionic alkaline-earth atoms have unique properties that make them attractive candidates for the realization of atomic clocks and degenerate quantum gases. At the same time, they are attracting considerable theoretical attention in the context of quantum information processing. Here we demonstrate ...
... Fermionic alkaline-earth atoms have unique properties that make them attractive candidates for the realization of atomic clocks and degenerate quantum gases. At the same time, they are attracting considerable theoretical attention in the context of quantum information processing. Here we demonstrate ...
Part II. p-orbital physics in optical lattices
... Collaborators: L. Balents, D. Bergman, S. Das Sarma, H. H. Hung, W. C. Lee, S. Z. Zhang; W. V. Liu, V. Stojanovic. ...
... Collaborators: L. Balents, D. Bergman, S. Das Sarma, H. H. Hung, W. C. Lee, S. Z. Zhang; W. V. Liu, V. Stojanovic. ...
Universality classes for extreme-value statistics
... should be at least two types of generalizations. One type still concerns independent random variables but with either power-law decay of the distribution (in which case there is a priori no replica formalism), or bounded random variables (the Weibull distribution of extremes), which does not seem to ...
... should be at least two types of generalizations. One type still concerns independent random variables but with either power-law decay of the distribution (in which case there is a priori no replica formalism), or bounded random variables (the Weibull distribution of extremes), which does not seem to ...
Semiclassical methods in solid state physics : two examples
... two phases approach reduces the problem to the case of independent charged particles in a lattice and a magnetic field. Even though this last approximation is questioned nowadays, it led many physicists to go back to the question of the 2D electronic lattice motion in a uniform magnetic ...
... two phases approach reduces the problem to the case of independent charged particles in a lattice and a magnetic field. Even though this last approximation is questioned nowadays, it led many physicists to go back to the question of the 2D electronic lattice motion in a uniform magnetic ...
Spin-1 J1-J2 Heisenberg antiferromagnet on a square lattice: A
... Fe-based superconducting materials16 where a weakened AF order can be described by this model with S > 1/2.17–19 Properties of this model for S = 1/2 in two dimensions have been studied extensively by a variety of methods, such as spin wave theory,5 exact diagonalization (ED),6,7,14 series expansion ...
... Fe-based superconducting materials16 where a weakened AF order can be described by this model with S > 1/2.17–19 Properties of this model for S = 1/2 in two dimensions have been studied extensively by a variety of methods, such as spin wave theory,5 exact diagonalization (ED),6,7,14 series expansion ...
script
... instead represents the interatomic exchange energy, arising form the requirement of symmetrizing the wave functions according to the purely quantum mechanical Pauli principle. Q is positive, but J – in contrast to the atomic Hund’s-rule exchange JHund – is negative. Thus, the chemical bond favors th ...
... instead represents the interatomic exchange energy, arising form the requirement of symmetrizing the wave functions according to the purely quantum mechanical Pauli principle. Q is positive, but J – in contrast to the atomic Hund’s-rule exchange JHund – is negative. Thus, the chemical bond favors th ...
Spin and Pauli`s Principle
... The main physics [Sx , Sy ] = i~Sz (etc.)...Note THIS IS EXPERIMENTAL FACT...NOT DERIVED (as in case of Lx etc.)! With it we can show that the eigenstates are given by |s, ms i with S 2 |s, ms i = s(s + 1)~2 |s, ms i, Sz |s, ms i = ms ~|s, ms i....the allowed values of s = 0, 12 , 1, 32 ... (note di ...
... The main physics [Sx , Sy ] = i~Sz (etc.)...Note THIS IS EXPERIMENTAL FACT...NOT DERIVED (as in case of Lx etc.)! With it we can show that the eigenstates are given by |s, ms i with S 2 |s, ms i = s(s + 1)~2 |s, ms i, Sz |s, ms i = ms ~|s, ms i....the allowed values of s = 0, 12 , 1, 32 ... (note di ...
A. Bylinkin - Rencontres de Moriond
... • Predictions on the pseudorapidity distributions, mean transverse momenta as a function of multiplicity and transverse momentum spectra were made and tested on the available experimental data • A possible link between General Relativity and QCD has been found Many thanks to my co-authors: A. Rostov ...
... • Predictions on the pseudorapidity distributions, mean transverse momenta as a function of multiplicity and transverse momentum spectra were made and tested on the available experimental data • A possible link between General Relativity and QCD has been found Many thanks to my co-authors: A. Rostov ...
1 Introduction : Phase transitions in 2D electron systems 2
... orbits the states will be localized. As the Fermi energy crosses from one region of localized states (states orbiting puddles of the potential) to another (states orbiting peaks at the potential) it crosses Ec and at that energy, where the potential contour percolates, the states are extended. Thus ...
... orbits the states will be localized. As the Fermi energy crosses from one region of localized states (states orbiting puddles of the potential) to another (states orbiting peaks at the potential) it crosses Ec and at that energy, where the potential contour percolates, the states are extended. Thus ...
Polar molecules in optical lattices
... Two dimensional systems. Phase diagrams for various values of Hubbard interactions. All Mott phases have spin orer at (π,π) ...
... Two dimensional systems. Phase diagrams for various values of Hubbard interactions. All Mott phases have spin orer at (π,π) ...
Time evolution - MIT OpenCourseWare
... where we take the z axis to point along the external field for simplicity and we defined the Larmor frequency for the given system. If the spin is initially in the state |0), the system does not evolve (as it is an eigenstate of the Hamiltonian). If instead it is prepared in a superposition state, it ...
... where we take the z axis to point along the external field for simplicity and we defined the Larmor frequency for the given system. If the spin is initially in the state |0), the system does not evolve (as it is an eigenstate of the Hamiltonian). If instead it is prepared in a superposition state, it ...
Quantum Brownian motion in a periodic potential and the
... The quantum mechanics of a particle in a periodic potential coupled to a dissipative environment is a fundamental problem.1 A simple theory based on the Caldeira-Leggett model of Ohmic dissipation was proposed in the mid 1980s as a possible description of the motion of a heavy charged particle in a ...
... The quantum mechanics of a particle in a periodic potential coupled to a dissipative environment is a fundamental problem.1 A simple theory based on the Caldeira-Leggett model of Ohmic dissipation was proposed in the mid 1980s as a possible description of the motion of a heavy charged particle in a ...
Two-level systems coupled to oscillators
... Basic physical mechanisms that are complicated can often be studied with the aid of simple quantum mechanical models that exhibit the effects of interest. We have been interested in energy exchange between two-level systems and an oscillator under conditions where the twolevel system energy is much ...
... Basic physical mechanisms that are complicated can often be studied with the aid of simple quantum mechanical models that exhibit the effects of interest. We have been interested in energy exchange between two-level systems and an oscillator under conditions where the twolevel system energy is much ...