ua nt - p h / 99 09 06 3 v 2 8 N ov 1 99 9 Smooth adiabatic evolutions with leaky power tails
نویسندگان
چکیده
Adiabatic evolutions with a gap condition have, under a range of circumstances, exponentially small tails that describe the leaking out of the spectral subspace. Adiabatic evolutions without a gap condition do not seem to have this feature in general. This is a known fact for eigenvalue crossing. We show that this is also the case for eigenvalues at the threshold of the continuous spectrum by considering the Friedrichs model.
منابع مشابه
ua nt - p h / 99 11 04 8 v 1 1 1 N ov 1 99 9 Motion of a spin 1 2 particle in shape invariant scalar and magnetic fields
We study the motion of a spin 1 2 particle in a scalar as well as a magnetic field within the framework of supersymmetric quantum mechanics(SUSYQM). We also introduce the concept of shape invariant scalar and magnetic fields and it is shown that the problem admits exact analytical solutions when such fields are considered.
متن کاملua nt - p h / 98 07 06 3 v 1 2 2 Ju l 1 99 8 Twin - photon techniques for fiber measurements
متن کامل
ar X iv : q ua nt - p h / 99 09 01 2 v 3 1 N ov 2 00 2 Analysis of Quantum Functions ∗
Quantum functions are functions that can be computed by means of quantum mechanical device. This paper investigates quantum functions that take classical bit inputs. We explore basic properties and close relationships among these quantum functions. We also discuss quantum functions that make adaptive and nonadaptive (or parallel) oracle queries. key words: quantum Turing machine, nonadaptive qu...
متن کاملua nt - p h / 99 06 10 0 v 2 2 2 N ov 1 99 9 SU ( 2 ) coherent state path integrals based on arbitrary fiducial vectors and geometric phases
We develop the formulation of the spin(SU(2)) coherent state path integrals based on arbitrary fiducial vectors. The resultant action in the path integral expression extensively depends on the vector; It differs from the conventional one in that it has a generalized form having some additional terms. We also study, as physical applications, the geometric phases associated with the coherent stat...
متن کاملua nt - p h / 99 10 09 1 v 2 1 N ov 1 99 9 Quantum CPU and Quantum Algorithm ∗
Making use of an universal quantum network – QCPU proposed by me [6], I obtain the whole quantum network which can implement some known quantum algorithms including Deutsch algorithm, quantum Fourier transformation, Shor’s algorithm and Grover’s algorithm. PACS Numbers: 03.67.Lx, 89.80.+h, 03.67-a Typeset using REVTEX Supported by National Natural Science Foundation of China under Grant No. 697...
متن کامل