CDM article on quantum chaos - Department of Mathematics
... confirm this conjecture in the special case of arithmetic surfaces and Hecke eigenfunctions, but correct it with an extra arithmetic factor. A final direction we survey is the applications of quantum ergodicity to problems in nodal geometry. Given the large amount of work on matrix elements hAϕj , ϕ ...
... confirm this conjecture in the special case of arithmetic surfaces and Hecke eigenfunctions, but correct it with an extra arithmetic factor. A final direction we survey is the applications of quantum ergodicity to problems in nodal geometry. Given the large amount of work on matrix elements hAϕj , ϕ ...
ψ ε
... time, and instead of prescribing ψ ε at t = 0 (or more generally at some finite time), we impose its behavior at t = −∞. In the linear case (1.3), there are several results addressing the question mentioned above, considering different forms of asymptotic states at t = −∞. Before describing them, we ...
... time, and instead of prescribing ψ ε at t = 0 (or more generally at some finite time), we impose its behavior at t = −∞. In the linear case (1.3), there are several results addressing the question mentioned above, considering different forms of asymptotic states at t = −∞. Before describing them, we ...
SU(3) - Physics
... In this model (1960’s) there are 3 quarks, which are the eigenvectors (3 row column vector) of the two diagonal generators (Y and I3) Baryons are made up of a bound state of 3 quarks Mesons are a quark-antiquark bound state The quarks are added together to form mesons and baryons using the rules of ...
... In this model (1960’s) there are 3 quarks, which are the eigenvectors (3 row column vector) of the two diagonal generators (Y and I3) Baryons are made up of a bound state of 3 quarks Mesons are a quark-antiquark bound state The quarks are added together to form mesons and baryons using the rules of ...
Highlights - UMD Physics
... exactly), make your best guess for the ground state wavefunction ΨGS ,Guess ( r ) (make sure it is normalized: ΨGS ,Guess ΨGS ,Guess = 1 ) and calculate the expectation value of the Hamiltonian with this wavefunction: ΨGS ,Guess Η ΨGS ,Guess . The true ground state energy is guaranteed to be less th ...
... exactly), make your best guess for the ground state wavefunction ΨGS ,Guess ( r ) (make sure it is normalized: ΨGS ,Guess ΨGS ,Guess = 1 ) and calculate the expectation value of the Hamiltonian with this wavefunction: ΨGS ,Guess Η ΨGS ,Guess . The true ground state energy is guaranteed to be less th ...
PDF
... There are two main kinds of protocols for achieving clock synchronization. The first is the ‘‘Einstein synchronization protocol’’ 关1兴 in which a signal is sent back and forth between one of the clocks 共say Alice’s clock兲 and the other clocks. By knowing the signal speed dependence on the intermediat ...
... There are two main kinds of protocols for achieving clock synchronization. The first is the ‘‘Einstein synchronization protocol’’ 关1兴 in which a signal is sent back and forth between one of the clocks 共say Alice’s clock兲 and the other clocks. By knowing the signal speed dependence on the intermediat ...
A continued fraction resummation form of bath
... is the pure dissipative propagation superoperator, vanishing in Markovian dynamics, and R(t) = LPCUC(t)LCP is the population-to-population transition superoperator. Thus, high-order (k ≥ 2) QKE rate kernels reflect dynamics of population fluctuation around the local equilibrium state due to the bath ...
... is the pure dissipative propagation superoperator, vanishing in Markovian dynamics, and R(t) = LPCUC(t)LCP is the population-to-population transition superoperator. Thus, high-order (k ≥ 2) QKE rate kernels reflect dynamics of population fluctuation around the local equilibrium state due to the bath ...
quantum information exchange between photons and atoms
... atomic excitation is studied for both Fock state and coherent state pulse. The detailed analysis of atomic excited state population is provided for single photon pulse with various temporal shapes. The work is then extended to a more general case with two spatial-modes and multi-photon pulses. The d ...
... atomic excitation is studied for both Fock state and coherent state pulse. The detailed analysis of atomic excited state population is provided for single photon pulse with various temporal shapes. The work is then extended to a more general case with two spatial-modes and multi-photon pulses. The d ...
Concentration-dependent absorption and emission behaviour of
... to achieve sufficient gain. A knowledge of the absorption and emission spectroscopic behaviour of the laser dyes at high concentrations is necessary for a detailed understanding of the laser performance. In this paper absorption spectra, refractive index spectra, and fluorescence quantum distributio ...
... to achieve sufficient gain. A knowledge of the absorption and emission spectroscopic behaviour of the laser dyes at high concentrations is necessary for a detailed understanding of the laser performance. In this paper absorption spectra, refractive index spectra, and fluorescence quantum distributio ...
Consciousness in the universe A review of the ‘Orch OR’ theory ScienceDirect
... evolutionary consequence of the biological adaptation of brains and nervous systems. This prevalent scientific view is that consciousness emerged as a property of complex biological computation during the course of evolution. Opinions vary as to when, where and how consciousness appeared, e.g. only ...
... evolutionary consequence of the biological adaptation of brains and nervous systems. This prevalent scientific view is that consciousness emerged as a property of complex biological computation during the course of evolution. Opinions vary as to when, where and how consciousness appeared, e.g. only ...
Parity anomaly and spin transmutation in quantum spin Hall
... In the short junction limit L → 0, the subgap spectrum contains a single particle-hole symmetric pair of Andreev states [see Fig. 1(a)]. Both Andreev levels emanate from and merge into the quasiparticle continuum. Hence, when the phase advances proportional to an applied bias voltage V , the junctio ...
... In the short junction limit L → 0, the subgap spectrum contains a single particle-hole symmetric pair of Andreev states [see Fig. 1(a)]. Both Andreev levels emanate from and merge into the quasiparticle continuum. Hence, when the phase advances proportional to an applied bias voltage V , the junctio ...
Logical error rate in the Pauli twirling approximation Amara Katabarwa
... quantum information theory when Shor discovered his now famous algorithm,2 which can provably factor numbers in polynomial time, in contrast to a classical machine which is believed to scale exponentially with the number of bits of the input. However, it was clear from the very beginning that the gr ...
... quantum information theory when Shor discovered his now famous algorithm,2 which can provably factor numbers in polynomial time, in contrast to a classical machine which is believed to scale exponentially with the number of bits of the input. However, it was clear from the very beginning that the gr ...
THE NOTION OF INFORMATION IN QUANTUM PHYSICS AND THE
... logic, after the pioneering one just illustrated, and devoted to the intensional interpretations of modal syntactic structures. The second one, comprised between ‘60’s and 70’s of the last century, is related to the development of Kripke’s formal semantics, as far as it is based on his brilliant not ...
... logic, after the pioneering one just illustrated, and devoted to the intensional interpretations of modal syntactic structures. The second one, comprised between ‘60’s and 70’s of the last century, is related to the development of Kripke’s formal semantics, as far as it is based on his brilliant not ...
Lecture 6, Parity and Charge Conjugation
... total angular momentum of the initial state is just that of the d (J=1). c) The isospin of the nn system is 1 since d is an isosinglet and the p- has I=|1,-1> note: a |1,-1> is symmetric under the interchange of particles. (see below) d) The final state contains two identical fermions and therefore ...
... total angular momentum of the initial state is just that of the d (J=1). c) The isospin of the nn system is 1 since d is an isosinglet and the p- has I=|1,-1> note: a |1,-1> is symmetric under the interchange of particles. (see below) d) The final state contains two identical fermions and therefore ...
Quantum critical dynamics of the random transverse-field Ising spin chain
... this field are scarce, one can mention the one-dimensional spin-1/2 XY-model [1] and the Ising chain in a transverse field [2]. Both models can be mapped onto a system of non-interacting fermions, where the equal-position correlation functions are calculated by the Pfaffian method utilizing the theo ...
... this field are scarce, one can mention the one-dimensional spin-1/2 XY-model [1] and the Ising chain in a transverse field [2]. Both models can be mapped onto a system of non-interacting fermions, where the equal-position correlation functions are calculated by the Pfaffian method utilizing the theo ...
The metaphysics of laws: dispositionalism vs. primitivism1
... other notions that are typically associated with that of law (necessity, possibility, model, causation, counterfactual, regularity, etc). The next step would then be to ask whether such an explanatory role due to conceptual priority suffices for an inference to the best explanation vis à vis ontolog ...
... other notions that are typically associated with that of law (necessity, possibility, model, causation, counterfactual, regularity, etc). The next step would then be to ask whether such an explanatory role due to conceptual priority suffices for an inference to the best explanation vis à vis ontolog ...
Physics 535 lecture notes: - 8 Sep 27th, 2007 Homework: Griffiths
... An interaction with one spin up and one spin down particle would be no different if the spins are switched. In group theory it can be represented by the SU(2) group. Spin is integral in particle physics. All particles that we deal with will have spin quantum numbers and conservation of spin will eff ...
... An interaction with one spin up and one spin down particle would be no different if the spins are switched. In group theory it can be represented by the SU(2) group. Spin is integral in particle physics. All particles that we deal with will have spin quantum numbers and conservation of spin will eff ...
Continuous Variable Quantum Information: Gaussian States and
... Particular emphasis will be given on a special subfield of CV quantum information, which revolves around the use of Gaussian states and operations. Gaussian states constitute versatile resources for quantum communication protocols with bosonic CV systems [8, 11 – 13, 16] and are important testbeds fo ...
... Particular emphasis will be given on a special subfield of CV quantum information, which revolves around the use of Gaussian states and operations. Gaussian states constitute versatile resources for quantum communication protocols with bosonic CV systems [8, 11 – 13, 16] and are important testbeds fo ...
Twenty years of the Weyl anomaly
... This was the road to Damascus for Steve as far as Weyl anomalies were concerned an4 like many a recent convert, he went on to become their most ardent advocatet. This was also the beginning of a very fruitful collaboration between the two of us. The significance of my paper with Deser and Isham was ...
... This was the road to Damascus for Steve as far as Weyl anomalies were concerned an4 like many a recent convert, he went on to become their most ardent advocatet. This was also the beginning of a very fruitful collaboration between the two of us. The significance of my paper with Deser and Isham was ...
The Two Slit Experiment
... This experiment is said to illustrate the essential mystery of quantum mechanics1 . This mystery is embodied in the apparent ability of a system to possess properties which, from a classical physics point-of-view, are mutually contradictory. We have already touched on one such instance, in which the ...
... This experiment is said to illustrate the essential mystery of quantum mechanics1 . This mystery is embodied in the apparent ability of a system to possess properties which, from a classical physics point-of-view, are mutually contradictory. We have already touched on one such instance, in which the ...