Aalborg Universitet The effect of time-dependent coupling on non-equilibrium steady states
... va , vb ∈ R, v ∈ L∞ ((a, b)). The quantum well is identified with the interval (a, b), (or physically, with the three-dimensional region (a, b)×R2 ). The regions (−∞, a) and (b, ∞) (or physically (−∞, a) × R2 and (b, ∞) × R2 ), are the reservoirs. Schrödinger operators with step-like potentials wer ...
... va , vb ∈ R, v ∈ L∞ ((a, b)). The quantum well is identified with the interval (a, b), (or physically, with the three-dimensional region (a, b)×R2 ). The regions (−∞, a) and (b, ∞) (or physically (−∞, a) × R2 and (b, ∞) × R2 ), are the reservoirs. Schrödinger operators with step-like potentials wer ...
Quantum Relaxation after a Quench in Systems with Boundaries Ferenc Iglo´i *
... is the first excited state (which is the ground state of the sector with odd number of fermions) of the initial Hamiltonian (t < 0). In the ordered phase, h0 < hc ¼ 1, where ml ðt < 0Þ > 0, jð0Þ 1 i is asymptotically degenerate with the ground state, jð0Þ 0 i. For h0 hc the magnetization vanishe ...
... is the first excited state (which is the ground state of the sector with odd number of fermions) of the initial Hamiltonian (t < 0). In the ordered phase, h0 < hc ¼ 1, where ml ðt < 0Þ > 0, jð0Þ 1 i is asymptotically degenerate with the ground state, jð0Þ 0 i. For h0 hc the magnetization vanishe ...
23 Up until now two main classes of quantum algorithms can be
... example financial or military) data by so-called public key cryptographic schemes. In these schemes a large number (the public key) is used to generate a coded message which is then sent to a recipient. The message can only be decoded using the prime factors of the public key. These prime factors (t ...
... example financial or military) data by so-called public key cryptographic schemes. In these schemes a large number (the public key) is used to generate a coded message which is then sent to a recipient. The message can only be decoded using the prime factors of the public key. These prime factors (t ...
ICCP Project 2 - Advanced Monte Carlo Methods
... where c labels a configuration or eigenfunction of the system. ICCP project 2 has three options covering different advanced MC methods. These options are outlined below. You (and your Dutch collaborators) can choose any one of the following three Monte Carlo projects. Moreover for each project there ...
... where c labels a configuration or eigenfunction of the system. ICCP project 2 has three options covering different advanced MC methods. These options are outlined below. You (and your Dutch collaborators) can choose any one of the following three Monte Carlo projects. Moreover for each project there ...
Lecture Notes on Classical Mechanics for Physics 106ab – Errata
... where the (c) superscript restricts the sum to constraint forces but the sum is over all constraint forces and all particles. with the new text At this point, we specialize to constraints that do no net work when a virtual displacement is applied. This assumption is critical. Making this assumption ...
... where the (c) superscript restricts the sum to constraint forces but the sum is over all constraint forces and all particles. with the new text At this point, we specialize to constraints that do no net work when a virtual displacement is applied. This assumption is critical. Making this assumption ...
The Black Hole Information Paradox and the Collapse of the Wave
... equivalence principle cannot be true at the same time. This is because, on one side, for Hawking’s radiation to occur, the emitted particles must get entangled with the “twins” that fall into black hole. On the other, if information is to come out with the radiation, then each emitted particle must ...
... equivalence principle cannot be true at the same time. This is because, on one side, for Hawking’s radiation to occur, the emitted particles must get entangled with the “twins” that fall into black hole. On the other, if information is to come out with the radiation, then each emitted particle must ...
GLn(R) AS A LIE GROUP Contents 1. Matrix Groups over R, C, and
... det(A−1 ) = 1/ det(A) 6= 0, so GLn (R) is closed under inverses. Analogous arguments can be made to show that SLn (R) is a subgroup of GLn (R). The general linear group of n-by-n matrices is important first of all because it has the group structure that Mn (R) lacks but also because it is all-encomp ...
... det(A−1 ) = 1/ det(A) 6= 0, so GLn (R) is closed under inverses. Analogous arguments can be made to show that SLn (R) is a subgroup of GLn (R). The general linear group of n-by-n matrices is important first of all because it has the group structure that Mn (R) lacks but also because it is all-encomp ...
Workshop Modern Numerical Methods in Quantum Mechanics
... of low rank. They serve to approximate, in a low-rank format, large time-dependent matrices and tensors that are either given explicitly via their increments or are unknown solutions of high-dimensional differential equations, such as multi-particle time-dependent Schrödinger equations. Recently de ...
... of low rank. They serve to approximate, in a low-rank format, large time-dependent matrices and tensors that are either given explicitly via their increments or are unknown solutions of high-dimensional differential equations, such as multi-particle time-dependent Schrödinger equations. Recently de ...
Experimental Implementation of Encoded Logical Qubit Operations
... encoded gate and decoding operations with a simplified experimental scheme. Compared to the full scheme shown in Fig. 1, we omitted the the error and error correction operations. Figure 4 shows the experimental results for the process matrices as bar plots. The corresponding matrices for the ideal ...
... encoded gate and decoding operations with a simplified experimental scheme. Compared to the full scheme shown in Fig. 1, we omitted the the error and error correction operations. Figure 4 shows the experimental results for the process matrices as bar plots. The corresponding matrices for the ideal ...
Packard Poster-2 - Northwestern University Mesoscopic Physics
... To demonstrate that a nonlocal signal between two probes can communicate information about the quantum phase of the electrons, a phasedependent current I(F) from one probe into the superconductor needs to be established. The nonlocal voltage VN can then be monitored as the phase is tuned on a second ...
... To demonstrate that a nonlocal signal between two probes can communicate information about the quantum phase of the electrons, a phasedependent current I(F) from one probe into the superconductor needs to be established. The nonlocal voltage VN can then be monitored as the phase is tuned on a second ...
Bonding in Solids, Structural and Chemical Properties
... few simple cases. However, the solutions for the hydrogen atom can be used to construct solutions for not only more complex atoms but also for complex molecules and even solids. Therefore, it is still very useful to consider the solution of the Schrödinger equation for hydrogen as this provides the ...
... few simple cases. However, the solutions for the hydrogen atom can be used to construct solutions for not only more complex atoms but also for complex molecules and even solids. Therefore, it is still very useful to consider the solution of the Schrödinger equation for hydrogen as this provides the ...
On Gauge Invariance and Covariant Derivatives in Metric Spaces
... metric to a curved spacetime, provided it satisfies a few very general topological conditions [1]. To construct differential equations for different fields, we have to introduce additional structures into the spacetime. These structures are known as connection coefficients. They can be introduced in ...
... metric to a curved spacetime, provided it satisfies a few very general topological conditions [1]. To construct differential equations for different fields, we have to introduce additional structures into the spacetime. These structures are known as connection coefficients. They can be introduced in ...
