Origin of the exponential decay of the Loschmidt echo in integrable
... systems may also exhibit exponential decay of the LE [13,14]. This finding may seem unexpected as the exponential decay of the LE is normally regarded as a hallmark of chaotic dynamics. To our knowledge, a theoretical model that is able to quantitatively explain exponential decay of the LE in integr ...
... systems may also exhibit exponential decay of the LE [13,14]. This finding may seem unexpected as the exponential decay of the LE is normally regarded as a hallmark of chaotic dynamics. To our knowledge, a theoretical model that is able to quantitatively explain exponential decay of the LE in integr ...
Representation Theory, Symmetry, and Quantum
... In the early 20th century, it had become apparent to physicists that many phenomena, from the orbiting of electrons in atoms to the emission and absorption of light waves, did not occur on a continuous spectrum, as classical theories would predict. Einstein’s 1905 discovery of the photoelectic effec ...
... In the early 20th century, it had become apparent to physicists that many phenomena, from the orbiting of electrons in atoms to the emission and absorption of light waves, did not occur on a continuous spectrum, as classical theories would predict. Einstein’s 1905 discovery of the photoelectic effec ...
presentation source
... Some physicists try to derive probabilities of actual outcomes directly from field theory, without a Hamiltonian or potential. Is the idea of a potential only an approximation suitable for some energy scales? – I would ask: Are there not still some roles for mass, kinetic and ...
... Some physicists try to derive probabilities of actual outcomes directly from field theory, without a Hamiltonian or potential. Is the idea of a potential only an approximation suitable for some energy scales? – I would ask: Are there not still some roles for mass, kinetic and ...
Solutions Fall 2004 Due 5:01 PM, Monday 2004/11/22
... Solution: The eigenfunction of the time-independent Schroedinger equation is the spatial part of the wave function which is a solution to the Schroedinger equation for a time-independent potential energy function. Since the wave function is used to calculate actual quantities that can be measured in ...
... Solution: The eigenfunction of the time-independent Schroedinger equation is the spatial part of the wave function which is a solution to the Schroedinger equation for a time-independent potential energy function. Since the wave function is used to calculate actual quantities that can be measured in ...
4 The Schrodinger`s Equation
... We then endowed ψ with dynamics by adding in, at first a diagonal Hamiltonian Eq. (30) Ĥ and then with some more interesting dynamics by adding a NOT operator Eq. (33) H̃ . We find that both Hamiltonians generate different kinds of motion for the qubit. The lesson here is that the dynamics of system ...
... We then endowed ψ with dynamics by adding in, at first a diagonal Hamiltonian Eq. (30) Ĥ and then with some more interesting dynamics by adding a NOT operator Eq. (33) H̃ . We find that both Hamiltonians generate different kinds of motion for the qubit. The lesson here is that the dynamics of system ...