Minimally Entangled Typical Quantum States at Finite Temperature
... P energy eigenvalues Es and eigenstates jsi satisfy ¼ s eEs jsihsj and thus Eq. (1). However, they should not be thought of as typical states. Schrödinger called this idea ‘‘altogether wrong’’ and ‘‘irreconcilable with the very foundations of quantum mechanics’’ [4]. For a large system, excludi ...
... P energy eigenvalues Es and eigenstates jsi satisfy ¼ s eEs jsihsj and thus Eq. (1). However, they should not be thought of as typical states. Schrödinger called this idea ‘‘altogether wrong’’ and ‘‘irreconcilable with the very foundations of quantum mechanics’’ [4]. For a large system, excludi ...
Quantum Entanglement in Many-body Systems
... Quantum entanglement and quantum phase transition are both purely quantum effects. Recently, there are many attempts trying to find the relationship between quantum entanglement and quantum phase transition. As far as I know, it is still an open problem in the sense that no firm conclusion, that is ...
... Quantum entanglement and quantum phase transition are both purely quantum effects. Recently, there are many attempts trying to find the relationship between quantum entanglement and quantum phase transition. As far as I know, it is still an open problem in the sense that no firm conclusion, that is ...
Magnetic Properties of the One-Band Hubbard Model
... of interesting phenomena, the development of new methods for an accurate description of these materials is one of the most exciting fields of physics. This is true in particular for materials where the interactions between the electrons play an important role in determining the physical properties o ...
... of interesting phenomena, the development of new methods for an accurate description of these materials is one of the most exciting fields of physics. This is true in particular for materials where the interactions between the electrons play an important role in determining the physical properties o ...
superconducting qubits solid state qubits
... “Charge qubits” and “spin qubits” The qubits levels can be formed by either the energy levels of an electron in a potential well (such as a quantum dot or an impurity ion) or by the spin states of the electron (or the nucleus). The former are examples of charge qubits. The charge qubits have high e ...
... “Charge qubits” and “spin qubits” The qubits levels can be formed by either the energy levels of an electron in a potential well (such as a quantum dot or an impurity ion) or by the spin states of the electron (or the nucleus). The former are examples of charge qubits. The charge qubits have high e ...
Quantum reflection and interference of matter waves from
... where pn (y) = 2 kn2 − 2mCγ /y γ is the local momentum for y → 0 and ys is some arbitrary starting point. We remark that one can estimate whether or not the WKB wave function is a good approximation to the exact solution of the Schrödinger equation (1) by means of the badlands function [2]. In Sec ...
... where pn (y) = 2 kn2 − 2mCγ /y γ is the local momentum for y → 0 and ys is some arbitrary starting point. We remark that one can estimate whether or not the WKB wave function is a good approximation to the exact solution of the Schrödinger equation (1) by means of the badlands function [2]. In Sec ...
PHYS - University of New Brunswick
... variety of processes, then go on to explain that not all of the energy is available for doing mechanical work. The theoretical framework of classical thermodynamics is beautifully selfcontained, but this course also emphasises the link between the microscopic world of the kinetic theory (drawing on ...
... variety of processes, then go on to explain that not all of the energy is available for doing mechanical work. The theoretical framework of classical thermodynamics is beautifully selfcontained, but this course also emphasises the link between the microscopic world of the kinetic theory (drawing on ...
Low-frequency conductivity of a nondegenerate two-dimensional electron liquid
... The question of observing the actual dynamics or electron scattering in the electron liquid has not been addressed previously. From analogy with single-electron scattering one may expect that an insight into this dynamics can be gained from the frequency dependence of xx ( ). Here, we develop an ...
... The question of observing the actual dynamics or electron scattering in the electron liquid has not been addressed previously. From analogy with single-electron scattering one may expect that an insight into this dynamics can be gained from the frequency dependence of xx ( ). Here, we develop an ...
Renormalization
In quantum field theory, the statistical mechanics of fields, and the theory of self-similar geometric structures, renormalization is any of a collection of techniques used to treat infinities arising in calculated quantities.Renormalization specifies relationships between parameters in the theory when the parameters describing large distance scales differ from the parameters describing small distances. Physically, the pileup of contributions from an infinity of scales involved in a problem may then result in infinities. When describing space and time as a continuum, certain statistical and quantum mechanical constructions are ill defined. To define them, this continuum limit, the removal of the ""construction scaffolding"" of lattices at various scales, has to be taken carefully, as detailed below.Renormalization was first developed in quantum electrodynamics (QED) to make sense of infinite integrals in perturbation theory. Initially viewed as a suspect provisional procedure even by some of its originators, renormalization eventually was embraced as an important and self-consistent actual mechanism of scale physics in several fields of physics and mathematics. Today, the point of view has shifted: on the basis of the breakthrough renormalization group insights of Kenneth Wilson, the focus is on variation of physical quantities across contiguous scales, while distant scales are related to each other through ""effective"" descriptions. All scales are linked in a broadly systematic way, and the actual physics pertinent to each is extracted with the suitable specific computational techniques appropriate for each.