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Entanglement and Tensor Network States - cond
... matter context or in situations that mimic condensed matter systems, as provided, say, by systems of cold atoms in optical lattices. What we mean by a quantum lattice system is that we think that we have an underlying lattice structure given: some lattice that can be captured by a graph. The vertice ...
... matter context or in situations that mimic condensed matter systems, as provided, say, by systems of cold atoms in optical lattices. What we mean by a quantum lattice system is that we think that we have an underlying lattice structure given: some lattice that can be captured by a graph. The vertice ...
Quantum Information
... This determinant equation is in fact an nth order polynomial in λ, whose n roots are the n eigenvalues of the matrix A. It should be noted that although the exact form of the determinant equation (1.46) seems to depend on the choice of basis in which A is described, the eigenvalues are fundamental p ...
... This determinant equation is in fact an nth order polynomial in λ, whose n roots are the n eigenvalues of the matrix A. It should be noted that although the exact form of the determinant equation (1.46) seems to depend on the choice of basis in which A is described, the eigenvalues are fundamental p ...
Spin Conductivity in Two-Dimensional Non
... clear definition of the spin current operator in the case of non-collinear antiferromagnets for which magnetization is generally not conserved. One of our main purposes is to introduce a definition of the spin current operator which fulfills the f-sum rule for non-collinear antiferromagnets; typical ...
... clear definition of the spin current operator in the case of non-collinear antiferromagnets for which magnetization is generally not conserved. One of our main purposes is to introduce a definition of the spin current operator which fulfills the f-sum rule for non-collinear antiferromagnets; typical ...
Section 6 Raman Scattering (lecture 10)
... The strongest scattering is Rayleigh scatter In Raman Scattering the scattered photon has different energy (frequency, wavelength) than the incident photon: Stokes lines are those in which the photon has lost energy to the molecule n0 – nt Anti-Stokes lines are those in which the photon has gained e ...
... The strongest scattering is Rayleigh scatter In Raman Scattering the scattered photon has different energy (frequency, wavelength) than the incident photon: Stokes lines are those in which the photon has lost energy to the molecule n0 – nt Anti-Stokes lines are those in which the photon has gained e ...
The quantum speed limit of optimal controlled phasegates for
... The physical realization of a quantum computer requires the implementation of a set of universal gates [1]. The most difficult part is generally the two-qubit gate since it involves interaction between two otherwise isolated quantum systems. In proposals for quantum computing with ultracold neutral-at ...
... The physical realization of a quantum computer requires the implementation of a set of universal gates [1]. The most difficult part is generally the two-qubit gate since it involves interaction between two otherwise isolated quantum systems. In proposals for quantum computing with ultracold neutral-at ...
Shankar`s Principles of Quantum Mechanics
... founders of quantum mechanics—Bohr, Heisenberg, Schrödinger, Dirac, Born, and others--solved the problem of small-scale physics. The union of relativity and quantum mechanics, needed for the description of phenomena involving simultaneously large velocities and small scales, turns out to be very dif ...
... founders of quantum mechanics—Bohr, Heisenberg, Schrödinger, Dirac, Born, and others--solved the problem of small-scale physics. The union of relativity and quantum mechanics, needed for the description of phenomena involving simultaneously large velocities and small scales, turns out to be very dif ...
Quantum Chemistry Methods
... Schrödinger equation within the space spanned by the one-particle basis set. In practice not all the unoccupied Hartree-Fock orbitals can be computed, The expansion in must be truncated, not considering any excitations above a given order. When the expansion is truncated at the zeroth order, the Har ...
... Schrödinger equation within the space spanned by the one-particle basis set. In practice not all the unoccupied Hartree-Fock orbitals can be computed, The expansion in must be truncated, not considering any excitations above a given order. When the expansion is truncated at the zeroth order, the Har ...
Universal Long-Time Behavior of Nuclear Spin Decays in a Solid
... independent of the initially generated transverse spin configuration. This long-time behavior sets in after only a few times T2 , where T2 is the characteristic time scale for transverse decay determined by the interaction between nuclear spins [see Eq. (2)] and represents the shortest ballistic tim ...
... independent of the initially generated transverse spin configuration. This long-time behavior sets in after only a few times T2 , where T2 is the characteristic time scale for transverse decay determined by the interaction between nuclear spins [see Eq. (2)] and represents the shortest ballistic tim ...
“Magnus” force - Pacific Institute of Theoretical Physics
... However we are NOT now going to do the usual Caldeira-Leggett trick of assuming a coupling between vortex and magnons which is linear in the magnon variables. As mentioned above, this is not even true for a soliton coupled to its environment. What we need is another expansion parameter, and there is ...
... However we are NOT now going to do the usual Caldeira-Leggett trick of assuming a coupling between vortex and magnons which is linear in the magnon variables. As mentioned above, this is not even true for a soliton coupled to its environment. What we need is another expansion parameter, and there is ...
Feynman-Kac formula for L´evy processes and semiclassical (Euclidean) momentum representation
... instead of (1.7) with initial condition g(·) ∈ S(R). Finally we will study the limiting behavior of (1.8) as ~ approaches 0. Usually there are two different methods to derive a Feynman-Kac type formula: • martingale methods combined with the Itô formula (see for example Section 5.7 of [14] and Sect ...
... instead of (1.7) with initial condition g(·) ∈ S(R). Finally we will study the limiting behavior of (1.8) as ~ approaches 0. Usually there are two different methods to derive a Feynman-Kac type formula: • martingale methods combined with the Itô formula (see for example Section 5.7 of [14] and Sect ...
Multiphoton population transfer in systems violating the classical twist condition: A... study of separatrix crossing in phase space
... is increased, separatrices associated with these islands may change topology and go from being heteroclinic (X points) to homoclinic (O points), resulting in rich and interesting dynamics in the classical phase space. Whether the previously studied multiphoton population transfer scheme would work i ...
... is increased, separatrices associated with these islands may change topology and go from being heteroclinic (X points) to homoclinic (O points), resulting in rich and interesting dynamics in the classical phase space. Whether the previously studied multiphoton population transfer scheme would work i ...
Document
... equilibrium atomic positions are found by minimizing the total elastic energy of the system. Several other strain potentials [24] [25] are also implemented in NEMO 3-D. While they modify some of the strain details they roughly have the same computational efficiency. (3) Electronic structure. The sin ...
... equilibrium atomic positions are found by minimizing the total elastic energy of the system. Several other strain potentials [24] [25] are also implemented in NEMO 3-D. While they modify some of the strain details they roughly have the same computational efficiency. (3) Electronic structure. The sin ...
ppt
... Lecture 20. Continuous Spectrum, the Density of States (Ch. 7), and Equipartition (Ch. 6) Typically, it’s easier to work with the integrals rather than the sums. Thus, whenever we consider an energy range which includes many levels (e.g., when kBT >> inter-level spacing), and, especially, when we ar ...
... Lecture 20. Continuous Spectrum, the Density of States (Ch. 7), and Equipartition (Ch. 6) Typically, it’s easier to work with the integrals rather than the sums. Thus, whenever we consider an energy range which includes many levels (e.g., when kBT >> inter-level spacing), and, especially, when we ar ...