Berry phase effects in magnetism - the Welcome Page of the Institute
... Berry [1] asked the following question: what will be the phase of the state after completion of the circuit C ? It may be difficult at first sight to realize that this question may be of any interest. Indeed, the expectation value of any observable quantity A, hAi ≡ hψ|A|ψi ...
... Berry [1] asked the following question: what will be the phase of the state after completion of the circuit C ? It may be difficult at first sight to realize that this question may be of any interest. Indeed, the expectation value of any observable quantity A, hAi ≡ hψ|A|ψi ...
3. Angular Momentum States.
... spin) can be considered to be a "zero point" motion. It is eternal and cannot be stopped. The spinning electron is like a ltoy top that is simultaneously provided with a pulse of rotational energy and magically freed from friction or other means of dissipating the rotational energy. Thus, the magnit ...
... spin) can be considered to be a "zero point" motion. It is eternal and cannot be stopped. The spinning electron is like a ltoy top that is simultaneously provided with a pulse of rotational energy and magically freed from friction or other means of dissipating the rotational energy. Thus, the magnit ...
Topics in Ultracold Atomic Gases: Strong Interactions and Quantum
... in weakly interacting Bose gases in the condensate phase, even in the absence of a single realistic system of which the models are exactly suitable. After many years of effort in cooling down the dilute gases of neutral alkali atoms, in 1995, scientists from JILA[1] realized the first weakly interac ...
... in weakly interacting Bose gases in the condensate phase, even in the absence of a single realistic system of which the models are exactly suitable. After many years of effort in cooling down the dilute gases of neutral alkali atoms, in 1995, scientists from JILA[1] realized the first weakly interac ...
Possible large-N fixed-points and naturalness for O(N) scalar fields
... a light Higgs is found, we may use the model to predict scattering at relatively low energies. It may turn out to be an effective description of a more intricate framework. Alternatives include supersymmetry (SUSY ensures light scalars [10]; the challenge is to break it without new naturalness probl ...
... a light Higgs is found, we may use the model to predict scattering at relatively low energies. It may turn out to be an effective description of a more intricate framework. Alternatives include supersymmetry (SUSY ensures light scalars [10]; the challenge is to break it without new naturalness probl ...
Quantum Monte Carlo, or, how to solve the many
... run for a considerable time to get the error bar down to an acceptable value, particularly in cases where one has to compute differences between two similar but imprecise numbers (the error bar in the numerical derivative computed by a two-point finite difference might be around a hundred times the ...
... run for a considerable time to get the error bar down to an acceptable value, particularly in cases where one has to compute differences between two similar but imprecise numbers (the error bar in the numerical derivative computed by a two-point finite difference might be around a hundred times the ...
BOULDER SUMMER SCHOOL LECTURE NOTES TOPOLOGICAL
... The resulting dispersion is simply E± (p) = ±p which denotes a right (left) moving particle, which are termed chiral, or Weyl, fermions. Analogous dispersions arise at the one dimensional edge of an Integer Quantum Hall state, but are not allowed in an isolated one dimensional system where Chiral fe ...
... The resulting dispersion is simply E± (p) = ±p which denotes a right (left) moving particle, which are termed chiral, or Weyl, fermions. Analogous dispersions arise at the one dimensional edge of an Integer Quantum Hall state, but are not allowed in an isolated one dimensional system where Chiral fe ...
Serkan Sahin (Master, JGU, 2015): Entanglement
... describe the system is ∼ O 210 . This is exponentially larger than the estimated number of atoms in the observable universe, which is of the order ∼ 1080 [2]. An exact analytical solution is only possible for a limited number of models, so that we often have to rely on numerical simulations to solve ...
... describe the system is ∼ O 210 . This is exponentially larger than the estimated number of atoms in the observable universe, which is of the order ∼ 1080 [2]. An exact analytical solution is only possible for a limited number of models, so that we often have to rely on numerical simulations to solve ...
1 Path Integrals and Their Application to Dissipative Quantum Systems
... The most often used and taught approach to nonrelativistic quantum mechanics is based on the Schrödinger equation which possesses strong ties with the the Hamiltonian formulation of classical mechanics. The nonvanishing Poisson brackets between position and momentum in classical mechanics lead us t ...
... The most often used and taught approach to nonrelativistic quantum mechanics is based on the Schrödinger equation which possesses strong ties with the the Hamiltonian formulation of classical mechanics. The nonvanishing Poisson brackets between position and momentum in classical mechanics lead us t ...
Microscopic description of two dimensional dipolar quantum gases Universitat Polit` ecnica de Catalunya
... A microscopic description of the many-body properties of anisotropic homogeneous gases of bosonic dipoles in two dimensions is presented and discussed. By changing the polarization angle with respect to the plane, we study the impact of the anisotropy, present in the dipole-dipole interaction on dif ...
... A microscopic description of the many-body properties of anisotropic homogeneous gases of bosonic dipoles in two dimensions is presented and discussed. By changing the polarization angle with respect to the plane, we study the impact of the anisotropy, present in the dipole-dipole interaction on dif ...
1 Introduction - UCR Math Dept.
... systems [3]. However, most people using Rényi entropy seem unaware of its connection to free energy, perhaps because they work on statistical inference rather than physics [7]. The connection deserves to be better known. Shortly after the first draft of this paper was released, Matteo Polettini poi ...
... systems [3]. However, most people using Rényi entropy seem unaware of its connection to free energy, perhaps because they work on statistical inference rather than physics [7]. The connection deserves to be better known. Shortly after the first draft of this paper was released, Matteo Polettini poi ...
Electron paramagnetic resonance of photoexcited
... where S and I are electron and phosphorus nuclear spins, respectively. Here ge µB /2π~ ≈ 28 GHz/T and gn µn /2π~ ≈ 17.2 MHz/T are given by electron and nuclear g-factors ge ≈ 1.9985 and gn ≈ 2.2632, respectively.The hyperfine constant is a/2π~ ≈ 117.5 MHz. The third term represents the hyperfine int ...
... where S and I are electron and phosphorus nuclear spins, respectively. Here ge µB /2π~ ≈ 28 GHz/T and gn µn /2π~ ≈ 17.2 MHz/T are given by electron and nuclear g-factors ge ≈ 1.9985 and gn ≈ 2.2632, respectively.The hyperfine constant is a/2π~ ≈ 117.5 MHz. The third term represents the hyperfine int ...
Mathematical foundation of quantum annealing
... performance, and relatively easy implementation in most cases. SA is usually used as a method to obtain an approximate solution within a finite computation time since it needs an infinitely long time to reach the exact solution by keeping the system close to thermal equilibrium. Let us now turn our ...
... performance, and relatively easy implementation in most cases. SA is usually used as a method to obtain an approximate solution within a finite computation time since it needs an infinitely long time to reach the exact solution by keeping the system close to thermal equilibrium. Let us now turn our ...
Topology of Bands in Solids: From Insulators to Dirac Matter
... electronic transport properties. Within the band theory of crystals, this behavior depends on the existence of a gap between energy bands corresponding to occupied electronic states, and empty states for energies above the gap. This notion of energy bands originates from Bloch theory [15]. Indeed, t ...
... electronic transport properties. Within the band theory of crystals, this behavior depends on the existence of a gap between energy bands corresponding to occupied electronic states, and empty states for energies above the gap. This notion of energy bands originates from Bloch theory [15]. Indeed, t ...
Strongly correlated quantum physics with cold atoms - Max
... the experimental findings on bulk 4 He remain controversial, optical lattice setups offer the advantages of high sample purity and experimental control to directly pin down a supersolid state via standard measurement techniques. In Chapter 2, we demonstrate theoretically a new route to supersolidity. ...
... the experimental findings on bulk 4 He remain controversial, optical lattice setups offer the advantages of high sample purity and experimental control to directly pin down a supersolid state via standard measurement techniques. In Chapter 2, we demonstrate theoretically a new route to supersolidity. ...
10 EPR Spectroscopy
... electron. This deviation is typically three orders of magnitude larger than chemical shifts (ppt instead of ppm). Because of the larger frequeny shifts and the larger couplings, EPR spectra extend over a broader frequency range relative to the mean resonance frequency. This requires a larger relativ ...
... electron. This deviation is typically three orders of magnitude larger than chemical shifts (ppt instead of ppm). Because of the larger frequeny shifts and the larger couplings, EPR spectra extend over a broader frequency range relative to the mean resonance frequency. This requires a larger relativ ...
Entanglement and Tensor Network States - cond
... the entropy will here be less important than the general scaling behavior in the asymptotic limit of large regions. Questions of a similar type have a long tradition and were first asked in the context of the scaling of black hole entropies [11]. Naively, but at the same time naturally, one might ex ...
... the entropy will here be less important than the general scaling behavior in the asymptotic limit of large regions. Questions of a similar type have a long tradition and were first asked in the context of the scaling of black hole entropies [11]. Naively, but at the same time naturally, one might ex ...
spins_unit_schrodinger_time_evolution
... = Operator corresponding to total energy Derived from classical Hamiltonian •What kind of terms do we expect it could contain? •How is H different from E? Let’s see what this equation tells us about our states if H is timeindependent is a functional: traditionally a map from a vector space of fun ...
... = Operator corresponding to total energy Derived from classical Hamiltonian •What kind of terms do we expect it could contain? •How is H different from E? Let’s see what this equation tells us about our states if H is timeindependent is a functional: traditionally a map from a vector space of fun ...
Explicit construction of local conserved operators in disordered
... Studies of the inverse participation ratio (IPR) and eigenvalue statistics [29] have demonstrated the existence of a finite-V phase transition in the range 3 4. There is evidence that this transition may be complicated by the presence of a mobility edge [33,34], making the position of the phas ...
... Studies of the inverse participation ratio (IPR) and eigenvalue statistics [29] have demonstrated the existence of a finite-V phase transition in the range 3 4. There is evidence that this transition may be complicated by the presence of a mobility edge [33,34], making the position of the phas ...