
Ph. D. thesis Quantum Phase Transitions in Correlated Systems
... transitions are associated with the singularities of thermodynamic quantities and, accordingly, can be traditionally classified as first-order or second-order transitions. In experiments, control parameters can be temperature, pressure, magnetic and electric fields or doping. When the phase transiti ...
... transitions are associated with the singularities of thermodynamic quantities and, accordingly, can be traditionally classified as first-order or second-order transitions. In experiments, control parameters can be temperature, pressure, magnetic and electric fields or doping. When the phase transiti ...
quantum dynamics of integrable spin chains
... essentially ergodic. This should mean that integrable quantum spin chains are not physical systems, that is they are not well posed models of statistical mechanics. This is at least a controversial idea. It is a certain fact that spin chains, as one dimensional models of magnetic alloys, are very in ...
... essentially ergodic. This should mean that integrable quantum spin chains are not physical systems, that is they are not well posed models of statistical mechanics. This is at least a controversial idea. It is a certain fact that spin chains, as one dimensional models of magnetic alloys, are very in ...
NIU Physics PhD Candidacy Exam - Spring 2017 Quantum Mechanics
... Consider two spatially localized spins 1/2, S1 and S2 , coupled by a transverse exchange interaction and in an inhomogeneous magnetic field. The Hamiltonian is: H = b1 S1z + b2 S2z − k(S1+ S2− + S1− S2+ ), where b1 and b2 are proportional to the magnetic fields at the two sites and k measures the st ...
... Consider two spatially localized spins 1/2, S1 and S2 , coupled by a transverse exchange interaction and in an inhomogeneous magnetic field. The Hamiltonian is: H = b1 S1z + b2 S2z − k(S1+ S2− + S1− S2+ ), where b1 and b2 are proportional to the magnetic fields at the two sites and k measures the st ...
Commun. Math. Phys. 110, 33-49
... quantum flux, which is 2π in our units. The analysis of charge transport requires control of the dynamics for finite times, and so is amenable to rigorous analysis. The analysis of the conductance is harder because it involves long times: The conductance is defined as the asymptotic (in time) ratio ...
... quantum flux, which is 2π in our units. The analysis of charge transport requires control of the dynamics for finite times, and so is amenable to rigorous analysis. The analysis of the conductance is harder because it involves long times: The conductance is defined as the asymptotic (in time) ratio ...
Classical limit states of the helium atom
... class of these planetary orbits can be greatly simplified by reduction to two coupled single-electron models. This simplification is accomplished with the help of an adiabatic approximation, which can be applied in the case in which one of the electrons is more highly excited than the other @17#. Fo ...
... class of these planetary orbits can be greatly simplified by reduction to two coupled single-electron models. This simplification is accomplished with the help of an adiabatic approximation, which can be applied in the case in which one of the electrons is more highly excited than the other @17#. Fo ...
Full characterization of polarization states of light via direct
... that a measurement of one variable of a system erases information about the corresponding conjugate variable. The classic example is that determining the position of a particle disturbs its momentum, and vice versa. These measurements, known as strong measurements, collapse the wavefunction such tha ...
... that a measurement of one variable of a system erases information about the corresponding conjugate variable. The classic example is that determining the position of a particle disturbs its momentum, and vice versa. These measurements, known as strong measurements, collapse the wavefunction such tha ...
The CPT Theorem
... theory per se to motivate appropriate transformation laws. In fact, our results apply formally to classical relativistic field theories just as well as to quantum ones. We find that the quantum CPT theorem is an instance of a more general result, other instances of which can be seen as classical PT, ...
... theory per se to motivate appropriate transformation laws. In fact, our results apply formally to classical relativistic field theories just as well as to quantum ones. We find that the quantum CPT theorem is an instance of a more general result, other instances of which can be seen as classical PT, ...
Topics in Modern Quantum Optics
... in the state |tiI obeys the classical Maxwell equations of motion for any fiducial Fock-space state |t0iI = |φ0 i. Therefore the corresponding complex, and in general time-dependent, parameters z constitute an explicit mapping between classical phase-space dynamical variables and a pure quantum-mech ...
... in the state |tiI obeys the classical Maxwell equations of motion for any fiducial Fock-space state |t0iI = |φ0 i. Therefore the corresponding complex, and in general time-dependent, parameters z constitute an explicit mapping between classical phase-space dynamical variables and a pure quantum-mech ...
Full characterization of polarization states of light via direct
... that a measurement of one variable of a system erases information about the corresponding conjugate variable. The classic example is that determining the position of a particle disturbs its momentum, and vice versa. These measurements, known as strong measurements, collapse the wavefunction such tha ...
... that a measurement of one variable of a system erases information about the corresponding conjugate variable. The classic example is that determining the position of a particle disturbs its momentum, and vice versa. These measurements, known as strong measurements, collapse the wavefunction such tha ...
Comment on “Non-representative Quantum Mechanical Weak Values”
... Svensson’s procedure for producing a weak measurement entails taking the coupling constant g to the limit g → 0. This approach is different from the one originally used in the introduction of weak values, where the limit taken was → ∞, where is the uncertainty in the position of the Gaussian mea ...
... Svensson’s procedure for producing a weak measurement entails taking the coupling constant g to the limit g → 0. This approach is different from the one originally used in the introduction of weak values, where the limit taken was → ∞, where is the uncertainty in the position of the Gaussian mea ...
What is a quantum simulator?
... 6 Why do we need quantum simulators? While the idea of simulations is centuries old [1, 2], the suggestion that a quantum device would make for a better mimic of some models than a classical device is commonly attributed to Feynman in 1982 [46]. He noted that calculating properties of an arbitrary q ...
... 6 Why do we need quantum simulators? While the idea of simulations is centuries old [1, 2], the suggestion that a quantum device would make for a better mimic of some models than a classical device is commonly attributed to Feynman in 1982 [46]. He noted that calculating properties of an arbitrary q ...