Qualifying Exam for Graduate Students – Fall 2008
... Certain clothing fibers are just polymers made up of monomers linked together in long chains. In an idealized, one dimensional model of such a fiber, each monomer, of length l, can point to the left or to the right with equal likelihood. The (fixed) number of monomers is N = NL + NR where NL and NR ...
... Certain clothing fibers are just polymers made up of monomers linked together in long chains. In an idealized, one dimensional model of such a fiber, each monomer, of length l, can point to the left or to the right with equal likelihood. The (fixed) number of monomers is N = NL + NR where NL and NR ...
PPT
... • The interval where fY is non-zero is of length a, • The value of fY in the interval is 1/a. • The total area of under fY is 1. X ...
... • The interval where fY is non-zero is of length a, • The value of fY in the interval is 1/a. • The total area of under fY is 1. X ...
PPT
... • The interval where fY is non-zero is of length a, • The value of fY in the interval is 1/a. • The total area of under fY is 1. X ...
... • The interval where fY is non-zero is of length a, • The value of fY in the interval is 1/a. • The total area of under fY is 1. X ...
Group representation theory and quantum physics
... All IR’s of the symmetry group G of a Hamiltonian H correspond to degenerate eigensubspaces of H. The reverse is not true: in a given degenerate eigensubspace, the matrices of a nonAbelian G may or may not be completely diagonalizable. However, it turns out that the diagonalizable case is extremely ...
... All IR’s of the symmetry group G of a Hamiltonian H correspond to degenerate eigensubspaces of H. The reverse is not true: in a given degenerate eigensubspace, the matrices of a nonAbelian G may or may not be completely diagonalizable. However, it turns out that the diagonalizable case is extremely ...
Quantum Electrodynamics
... among the greatest triumphs in theoretical physics. Later, Feynman came up with an alternative interpretation of positrons as electrons traveling backward in time. This led to great simplification of the theory, which came to be known as quantum electrodynamics. So, to modify the Klein-Gordon equati ...
... among the greatest triumphs in theoretical physics. Later, Feynman came up with an alternative interpretation of positrons as electrons traveling backward in time. This led to great simplification of the theory, which came to be known as quantum electrodynamics. So, to modify the Klein-Gordon equati ...
Serge Haroche
... Particle control in a quantum world Serge Haroche and David J. Wineland have independently invented and developed methods for measuring and manipulating individual particles while preserving their quantum-mechanical nature, in ways that were previously thought unattainable. The Nobel Laureates have ...
... Particle control in a quantum world Serge Haroche and David J. Wineland have independently invented and developed methods for measuring and manipulating individual particles while preserving their quantum-mechanical nature, in ways that were previously thought unattainable. The Nobel Laureates have ...
Quantum Computers
... (8 qubits), is announced to have been created by scientists at The Institute of Quantum Optics and Quantum Information at the University of Innsbruck in Austria ...
... (8 qubits), is announced to have been created by scientists at The Institute of Quantum Optics and Quantum Information at the University of Innsbruck in Austria ...
Simulation of Quantum Computation with Wolfram
... same time a realistic quantum computer is still not available and the majority of studies in this field are theoretical ones. This stimulates development of classical simulators of quantum computation which help to understand better existing quantum algorithms and can be used for searching and testin ...
... same time a realistic quantum computer is still not available and the majority of studies in this field are theoretical ones. This stimulates development of classical simulators of quantum computation which help to understand better existing quantum algorithms and can be used for searching and testin ...
![Counting Statistics of Many-Particle Quantum Walks [1] Introduction ======](http://s1.studyres.com/store/data/008913448_1-2808597985495b37b1c4797b675d81ef-300x300.png)
Counting Statistics of Many-Particle Quantum Walks [1] Introduction ======
... FIG. 2: The probability to find two bosons in s state |Φk i while beginning at the state | (1, 1)x i. The probabilities of quantum and classical cases are shown. for bosons, quantum states with large occupation numbers are favored. This behavior is reflected by the formalism. According to eq(20), th ...
... FIG. 2: The probability to find two bosons in s state |Φk i while beginning at the state | (1, 1)x i. The probabilities of quantum and classical cases are shown. for bosons, quantum states with large occupation numbers are favored. This behavior is reflected by the formalism. According to eq(20), th ...
Quantum Theory 1 - Home Exercise 6
... An Hermitian operator is an operator that satisfies  = † . (c) Let  and B̂ be two Hermitian operators. We define the operator Ĉ =  + iB̂. Is this operator Hermitian? If not, find its hermitian conjugate Ĉ † . Prove the following statements regarding Hermitian operators: (d) Two eigenstates ...
... An Hermitian operator is an operator that satisfies  = † . (c) Let  and B̂ be two Hermitian operators. We define the operator Ĉ =  + iB̂. Is this operator Hermitian? If not, find its hermitian conjugate Ĉ † . Prove the following statements regarding Hermitian operators: (d) Two eigenstates ...
Mott insulators, Noise correlations and Coherent Spin Dynamics in Optical Lattices
... of many of these quantum states for ultracold Bosonic and fermionic quantum gases. In addition to this, we report on novel results on the phase coherence properties of an atomic Mott insulator. For finite lattice depths a coherent admixture of particle/hole pairs exists, which is fundamental to a Mo ...
... of many of these quantum states for ultracold Bosonic and fermionic quantum gases. In addition to this, we report on novel results on the phase coherence properties of an atomic Mott insulator. For finite lattice depths a coherent admixture of particle/hole pairs exists, which is fundamental to a Mo ...
preview
... The twentieth century saw several significant developments in our understanding of the physical world. One of the most significant of these developments was the replacement of the classical physics of Newton, Maxwell, and Einstein with the quantum physics of Planck, Bohr, and Heisenberg. Usually our ...
... The twentieth century saw several significant developments in our understanding of the physical world. One of the most significant of these developments was the replacement of the classical physics of Newton, Maxwell, and Einstein with the quantum physics of Planck, Bohr, and Heisenberg. Usually our ...
Third lecture, 21.10.03 (von Neumann measurements, quantum
... entanglement is the source of decoherence. It is often also described as "back-action" of the measuring device on the measured system. Unless Px, the momentum of the pointer, is perfectly well-defined, then the interaction Hamiltonian Hint = g A Px looks like an uncertain (noisy) potential for the p ...
... entanglement is the source of decoherence. It is often also described as "back-action" of the measuring device on the measured system. Unless Px, the momentum of the pointer, is perfectly well-defined, then the interaction Hamiltonian Hint = g A Px looks like an uncertain (noisy) potential for the p ...
Ian Walmsley
... • H is a Hadamard transformation and X a bit-flip operation • ga is a controlled-NOT transformation acting on all bits simultaneously. • The top n qubits are measured at the end of the circuit. Since nowhere are the qubits entangled, they can be replaced by the modes of an optical field. ...
... • H is a Hadamard transformation and X a bit-flip operation • ga is a controlled-NOT transformation acting on all bits simultaneously. • The top n qubits are measured at the end of the circuit. Since nowhere are the qubits entangled, they can be replaced by the modes of an optical field. ...
Quantum Mechanics Lecture 3 Dr. Mauro Ferreira
... “O”. The knowledge of the wave function ψ(x) that describes the state of a system does not provide a fully deterministic value for the observable quantity but only a statistical distribution of ...
... “O”. The knowledge of the wave function ψ(x) that describes the state of a system does not provide a fully deterministic value for the observable quantity but only a statistical distribution of ...
1 The Postulates of Quantum Mechanics
... I need to say how “orthonormality” is defined. If we were dealing with a finite dimensional vector space (like Euclidean 3-space), then orthonormality means that the inner product of two different basis elements is zero and the inner product of a basis vector with itself is unity: ~vj · ~vk = δjk . ...
... I need to say how “orthonormality” is defined. If we were dealing with a finite dimensional vector space (like Euclidean 3-space), then orthonormality means that the inner product of two different basis elements is zero and the inner product of a basis vector with itself is unity: ~vj · ~vk = δjk . ...
Quantum spin chains
... Hamiltonian using sparse matrix algorithms. The states of the system can be labelled by an integer s which runs from 0 to 2 L − 1. If we find the binary form of this integer and then change each zero in this binary form to −1, then each integer uniquely generates a spin configuration and we systemat ...
... Hamiltonian using sparse matrix algorithms. The states of the system can be labelled by an integer s which runs from 0 to 2 L − 1. If we find the binary form of this integer and then change each zero in this binary form to −1, then each integer uniquely generates a spin configuration and we systemat ...
Path Integral Quantum Monte Carlo
... Algorithm • 2. Choose an initial configuration for the displacements xj which is close to the approximate shape of the ground state probability amplitude • 3. Choose an atom j at random and a trial displacement xtrial ->xj +(2r-1) where r is a random number on [0,1] • 4. Compute the change E in ...
... Algorithm • 2. Choose an initial configuration for the displacements xj which is close to the approximate shape of the ground state probability amplitude • 3. Choose an atom j at random and a trial displacement xtrial ->xj +(2r-1) where r is a random number on [0,1] • 4. Compute the change E in ...