pdf - ISI Foundation
... Quantum phase transitions that take place between two distinct topological phases remain an unexplored area for the applicability of the fidelity approach. Here, we apply this method to spin systems in two and three dimensions and show that the fidelity susceptibility can be used to determine the bo ...
... Quantum phase transitions that take place between two distinct topological phases remain an unexplored area for the applicability of the fidelity approach. Here, we apply this method to spin systems in two and three dimensions and show that the fidelity susceptibility can be used to determine the bo ...
Introduction to Molecular Magnets
... examines the overall magnetic moment of a material as a function of magnetic field.29,30 In figure 3, the magnetization of a spin-1 Ni tetramer as compared to the magnetization data. By studying the magnetization of a molecular magnet, it is possible to determine the interaction strength in the mate ...
... examines the overall magnetic moment of a material as a function of magnetic field.29,30 In figure 3, the magnetization of a spin-1 Ni tetramer as compared to the magnetization data. By studying the magnetization of a molecular magnet, it is possible to determine the interaction strength in the mate ...
Nonequilibrium Quantum Magnetism in a Dipolar Lattice Gas
... that the total spin S of a pair of particles in one site is not modified by the interaction with other sites, which confirms that pairs of particles do behave like large spins S interacting through long range DDIs. Starting with an initial state jS ¼ 6; M ¼ 4i in both sites, our model qualitatively ...
... that the total spin S of a pair of particles in one site is not modified by the interaction with other sites, which confirms that pairs of particles do behave like large spins S interacting through long range DDIs. Starting with an initial state jS ¼ 6; M ¼ 4i in both sites, our model qualitatively ...
Chemistry 3211 – Coordination Chemistry Part 4 Electronic Spectra
... For a given electron configuration we can determine the Russell-Saunders coupling by determining the absolute magnitude of L (the total angular momentum, absolute sum of all possible l values) and S (the total spin angular momentum, absolute sum of all possible electron spins). For example, if we ha ...
... For a given electron configuration we can determine the Russell-Saunders coupling by determining the absolute magnitude of L (the total angular momentum, absolute sum of all possible l values) and S (the total spin angular momentum, absolute sum of all possible electron spins). For example, if we ha ...
Chapter 4: Crystal Lattice Dynamics
... defined as the set of points which contains only independent states. From the discussion in chapter 3 and in this chapter, it is also clear that the reciprocal lattice vectors have some interpretation as momentum. For example, the Laue condition requires that the change in momentum of the scatterer ...
... defined as the set of points which contains only independent states. From the discussion in chapter 3 and in this chapter, it is also clear that the reciprocal lattice vectors have some interpretation as momentum. For example, the Laue condition requires that the change in momentum of the scatterer ...
Lecture Notes in Statistical Mechanics and Mesoscopics Doron Cohen
... ====== [1.4] The route to ergodicity This section will be expanded in future version. It outlines some major observation with regard to the dynamics of classical Hamiltonian systems. Simple 1D system:– The student is expected to be familiar with the dynamics of harmonic oscillator; potential well; p ...
... ====== [1.4] The route to ergodicity This section will be expanded in future version. It outlines some major observation with regard to the dynamics of classical Hamiltonian systems. Simple 1D system:– The student is expected to be familiar with the dynamics of harmonic oscillator; potential well; p ...
Interaction-induced Lipkin-Meshkov-Glick model in a Bose
... Hamiltonian (2) commutes with S2 and the exp(iπ Sz ), and thus, possesses a parity (spin-flip) symmetry. Apart from a constant −2vγ S2 , Hamiltonian (2) can be rewritten as HLMG = −2v(1+ γ )Sx2 + 2vγ Sz2 − 2hSz . It has been known that Hamiltonian (2) exhibits a second-order phase transition in the ...
... Hamiltonian (2) commutes with S2 and the exp(iπ Sz ), and thus, possesses a parity (spin-flip) symmetry. Apart from a constant −2vγ S2 , Hamiltonian (2) can be rewritten as HLMG = −2v(1+ γ )Sx2 + 2vγ Sz2 − 2hSz . It has been known that Hamiltonian (2) exhibits a second-order phase transition in the ...
Quantum Criticality: competing ground states in low
... of these quasiparticles will, in general, be very different from the previous ones. At slightly higher temperatures it is impossible to ignore the competition between the different states and their respective quasiparticles: the simple quasiparticle picture breaks down, and very complex behavior can ...
... of these quasiparticles will, in general, be very different from the previous ones. At slightly higher temperatures it is impossible to ignore the competition between the different states and their respective quasiparticles: the simple quasiparticle picture breaks down, and very complex behavior can ...
The Computational Difficulty of Spin Chains in One Dimension
... subspace has high energy because of the constraints in the Hamiltonian. • States which have the wrong structure, but cannot be locally checked (e.g., have m qubits instead of n): These states must violate a transition rule after at most O(m2) transitions, so have a (polynomially small) positive ener ...
... subspace has high energy because of the constraints in the Hamiltonian. • States which have the wrong structure, but cannot be locally checked (e.g., have m qubits instead of n): These states must violate a transition rule after at most O(m2) transitions, so have a (polynomially small) positive ener ...
Complexity of one-dimensional spin chains
... subspace has high energy because of the constraints in the Hamiltonian. • States which have the wrong structure, but cannot be locally checked (e.g., have m qubits instead of n): These states must violate a transition rule after at most O(m2) transitions, so have a (polynomially small) positive ener ...
... subspace has high energy because of the constraints in the Hamiltonian. • States which have the wrong structure, but cannot be locally checked (e.g., have m qubits instead of n): These states must violate a transition rule after at most O(m2) transitions, so have a (polynomially small) positive ener ...
Sections 3 - Columbia Physics
... These two separated beams propagate to the right in region B and are then recombined by a second region of inhomogeneous magnetic field into a single beam which continues to move to the right in region C. The regions of magnetic field are arranged so that those atoms with Sz = +h̄/2 are deflected in ...
... These two separated beams propagate to the right in region B and are then recombined by a second region of inhomogeneous magnetic field into a single beam which continues to move to the right in region C. The regions of magnetic field are arranged so that those atoms with Sz = +h̄/2 are deflected in ...
Sample pages 1 PDF
... three electrons in the same orbital? The Pauli exclusion principle insists that every electron have a unique set of quantum numbers and the use of Slater determinants ensures that. Whenever more than one electron resides in the same orbital, the electrons are called equivalent. This is the situation ...
... three electrons in the same orbital? The Pauli exclusion principle insists that every electron have a unique set of quantum numbers and the use of Slater determinants ensures that. Whenever more than one electron resides in the same orbital, the electrons are called equivalent. This is the situation ...
Avoided Antiferromagnetic Order and Quantum Critical Point in
... the proximity to a QCP. Hence the stoichiometric compounds receive a great deal of attention in the field of quantum criticality. One class of such materials is Ce-based compounds, which have an antiferromagnetic (AFM) ground state at ambient pressure. The hydrostatic pressure suppresses the magneti ...
... the proximity to a QCP. Hence the stoichiometric compounds receive a great deal of attention in the field of quantum criticality. One class of such materials is Ce-based compounds, which have an antiferromagnetic (AFM) ground state at ambient pressure. The hydrostatic pressure suppresses the magneti ...
Introduction to Superconductivity Theory - GDR Mico
... H is the external magnetic field. M is the magnetization in a material in response to H. (dM/dH) is the magnetic susceptibility (χ χm). B is the “net” magnetic field in the system. Also called magnetic field induction. In a non-magnetic material (such as vacuum, M=0 no matter what) B = H. (a) Magnet ...
... H is the external magnetic field. M is the magnetization in a material in response to H. (dM/dH) is the magnetic susceptibility (χ χm). B is the “net” magnetic field in the system. Also called magnetic field induction. In a non-magnetic material (such as vacuum, M=0 no matter what) B = H. (a) Magnet ...
Exploring dynamical phase transitions and prethermalization with
... a subject of interest in many areas of physics involving coldatomic gases [1], solid-state pump and probe experiments [2], quantum optics [3], heavy-ion collisions, and cosmology. A particularly intriguing question in this context is the possible emergence and detection of new dynamical critical phe ...
... a subject of interest in many areas of physics involving coldatomic gases [1], solid-state pump and probe experiments [2], quantum optics [3], heavy-ion collisions, and cosmology. A particularly intriguing question in this context is the possible emergence and detection of new dynamical critical phe ...
VIBRATIONS DIMENSIONAL TWO FROM DIRECT
... J. N. Boyd and P. N. Raychowdhury, "Representation Theory of Finite Abelian Groups Applied to a Linear Diatomic Crystal," International Journal of Mathematics and Mathematical Sciences 3 (1980), 559-74. J. N. Boyd and P. N. Raychowdhury, "A One Dimensional Crystal With Nearest Neighbors Coupled Thro ...
... J. N. Boyd and P. N. Raychowdhury, "Representation Theory of Finite Abelian Groups Applied to a Linear Diatomic Crystal," International Journal of Mathematics and Mathematical Sciences 3 (1980), 559-74. J. N. Boyd and P. N. Raychowdhury, "A One Dimensional Crystal With Nearest Neighbors Coupled Thro ...
Chiral Spin States in the Pyrochlore Heisenberg Magnet
... From VMC calculations, of the four different flux states considered, the [/2,/2,0]-flux state had the lowest energy. Although the [/2,/2,0]-flux state had the lowest energy, the [/2,-/2,0]-flux state is the more stable state, as can be seen from the band structure. Due to the rapid decre ...
... From VMC calculations, of the four different flux states considered, the [/2,/2,0]-flux state had the lowest energy. Although the [/2,/2,0]-flux state had the lowest energy, the [/2,-/2,0]-flux state is the more stable state, as can be seen from the band structure. Due to the rapid decre ...
metal
... 2. What is the distribution of the non-equilibrium steady state? Quantum random walk, suppression of tunneling ...
... 2. What is the distribution of the non-equilibrium steady state? Quantum random walk, suppression of tunneling ...
Algebraic Bethe Ansatz for XYZ Gaudin model
... The XYZ Gaudin model was introduced by M. Gaudin [1, 2, 3] as a quasiclassical limit of XYZ spin-1/2 chain. Gaudin noticed also that the former model can be generalized to any values of constituing spins. Whereas the spectrum and eigenfunctions of the XXX and XXZ variants of Gaudin model can easily ...
... The XYZ Gaudin model was introduced by M. Gaudin [1, 2, 3] as a quasiclassical limit of XYZ spin-1/2 chain. Gaudin noticed also that the former model can be generalized to any values of constituing spins. Whereas the spectrum and eigenfunctions of the XXX and XXZ variants of Gaudin model can easily ...