共查询到20条相似文献,搜索用时 171 毫秒
1.
Zhao-Xian Yu Bing-Hao Xie Shuo Jin Zhi-Yong Jiao 《International Journal of Theoretical Physics》2008,47(10):2690-2696
By using the Lewis–Riesenfeld invariant theory, we have studied the dynamical and the geometric phases in a generalized time-dependent
k-photon Λ-type Jaynes–Cummings model. It is found that, different from the dynamical phases, the geometric phases in a cycle
case are independent of the photon numbers, the frequency of the photon field, the coupling coefficient between photons and
atoms, and the atom transition frequency. 相似文献
2.
We study the quantum phases of anisotropic XY spin chain in presence and absence of adiabatic quench. A connection between geometric phase and criticality is established from the dynamical behavior of the geometric phase for a quench induced quantum phase transition in a quantum spin chain. We predict XX criticality associated with a sequence of non-contractible geometric phases. 相似文献
3.
Arun Kumar Pati 《Pramana》1994,42(6):455-465
The concept of a curve traced by a state vector in the Hilbert space is introduced into the general context of quantum evolutions
and its length defined. Three important curves are identified and their relation to the dynamical phase, the geometric phase
and the total phase are studied. These phases are reformulated in terms of the dynamical curve, the geometric curve and the
natural curve. For any arbitrary cyclic evolution of a quantum system, it is shown that the dynamical phase, the geometric
phase and their sums and/or differences can be expressed as the integral of the contracted length of some suitably-defined
curves. With this, the phases of the quantum mechanical wave function attain new meaning. Also, new inequalities concerning
the phases are presented. 相似文献
4.
Z. S. Wang Yuan-hua Li Hualan Xu Li-yun Hu Yi-you Nie L. P. Guo Min Huang Hui Pan 《International Journal of Theoretical Physics》2012,51(9):2850-2856
A geometric phase of open system is directly obtained from Schrödinger equation with a hermitian Hamiltonian of a two-level atomic system interacting with its reservoirs. We find that the dynamical phases are proportional to the geometric phases in terms of Weisskopf-Wigner theory in the rotational frame. Thus an effective scheme to measure the Berry phase in a charge qubit dissipative system is proposed by coherently controlling the macroscopic quantum states formed in superconducting circuits. Our approach does not need any operations to cancel the dynamical phases so as to reduce the experimental errors. Furthermore, we find that the dissipative effects can be overcome by choosing adapted parameters of the superconducting circuit. 相似文献
5.
Ge Yu Zhao-Xian Yu Zhi-Yong Jiao Bing-Hao Xie Shuo Jin 《International Journal of Theoretical Physics》2008,47(9):2279-2284
By using the Lewis–Riesenfeld invariant theory, we have studied the dynamical and the geometric phases in a two energy level
Jaynes-Cummings model with imaginary photon process. We find that the geometric phases in a cycle case have nothing to do
with the frequency of the photon field, the coupling coefficient between photons and atoms, and the atom transition frequency.
If we use the more accuracy device, the geometric phases in the imaginary photon process may be observed, and the geometric
phases in this process have the observable physical effect. 相似文献
6.
An-Ling Wang Fu-Ping Liu Zhao-Xian Yu 《International Journal of Theoretical Physics》2010,49(1):218-223
By using the Lewis–Riesenfeld invariant theory, we have studied the dynamical and the geometric phases in the interaction
system of multi-atom with single-mode photon field with imaginary photon process. We find that the geometric phases in a cycle
case have nothing to do with the frequency of the photon field, the coupling coefficient between photons and atoms, and the
atom transition frequency. If we use the more accuracy device, the geometric phases in the imaginary photon process may be
observed, and the geometric phases in this process have the observable physical effect. 相似文献
7.
Zhao-Xian Yu Zhi-Yong Jiao Xiang-Gui Li 《International Journal of Theoretical Physics》2009,48(10):2944-2949
By using of the invariant theory, we have studied the geometric phase in a time-dependent system with Higgs algebra structure,
the dynamical and geometric phases are given, respectively. The Aharonov-Anandan phase is also obtained under the cyclical
evolution. The disappearing condition of the geometric phase is given. 相似文献
8.
Zhao-Xian?Yu Zhi-Yong?Jiao Xiang-Gui?Li 《International Journal of Theoretical Physics》2009,48(10):2916-2919
By using of the invariant theory, we have studied the geometric phase in a time-dependent system with Higgs algebra structure, the dynamical and geometric phases are given, respectively. The Aharonov-Anandan phase is also obtained under the cyclical evolution. The disappearing condition of the geometric phase is given. 相似文献
9.
Yu Shi 《Annals of Physics》2010,325(6):1207-1218
We consider how to obtain a nontrivial two-qubit unitary transformation purely based on geometric phases of two spin-'s with Ising-like interaction in a magnetic field with a static z-component and a rotating xy-component. This is an interesting problem both for the purpose of measuring the geometric phases and in quantum computing applications. In previous approach, coupling of one of the qubit with the rotating component of field is ignored. By considering the exact two-spin geometric phases, we find that a nontrivial two-spin unitary transformation purely based on Berry phases can be obtained by using two consecutive cycles with opposite directions of the magnetic field and opposite signs of the interaction constant. In the nonadiabatic case, starting with a certain initial state, a cycle in the projected space of rays and thus Aharonov-Anandan phase can be achieved. The two-cycle scheme cancels the total phases, hence any unknown initial state evolves back to itself without a phase factor. 相似文献
10.
By using the Lewis–Riesenfeld invariant theory, we have studied the dynamical and the geometric phases in a generalized time-dependent
Jaynes-Cummings model. It is found that the geometric phases in a cycle case have nothing to do with the frequency of the
electromagnetic wave, the energy difference between two levels of the atom, and the coupling strength between the atom and
the light field. 相似文献
11.
An-Ling Wang Fu-Ping Liu Zhao-Xian Yu 《International Journal of Theoretical Physics》2010,49(3):531-535
By using of the invariant theory, we have studied the geometric phase in a time-dependent system with Laguerre polynomial
state, the dynamical and geometric phases are given, respectively. The Aharonov-Anandan phase is also obtained under the cyclical
evolution. 相似文献
12.
Galvez EJ Crawford PR Sztul HI Pysher MJ Haglin PJ Williams RE 《Physical review letters》2003,90(20):203901
We present direct measurements of a new geometric phase acquired by optical beams carrying orbital angular momentum. This phase arises when the transverse mode of a beam is transformed following a closed path in the space of modes. The measurements were done via the interference of two copropagating optical beams that pass through the same interferometer parts but acquire different geometric phases. The method is insensitive to dynamical phases. The magnitude and sign of the measured phases are in excellent agreement with theoretical predictions. 相似文献
13.
By analyzing an instructive example, for testing many concepts and approaches in quantum mechanics, of a one-dimensional quantum problem with moving infinite square-well, we define geometric phase of the physical system. We find that there exist three dynamical phases from the energy, the momentum and local change in spatial boundary condition respectively, which is different from the conventional computation of geometric phase. The results show that the geometric phase can fully describe the nonlocal character of quantum behavior. 相似文献
14.
Fu-Ping Liu Zhao-Xian Yu Zhi-Yong Jiao Shuo Jin 《International Journal of Theoretical Physics》2009,48(5):1341-1347
By using the Lewis–Riesenfeld invariant theory, we have studied the dynamical and the geometric phases in a generalized time-dependent
Λ-type k-photon Jaynes-Cummings model with imaginary photon process. We find that the geometric phases in a cycle case are independent
of the frequency of the photon field, the coupling coefficient between photons and atoms, and the atom transition frequency.
If we use the more accuracy device, the geometric phases in this process may be observed, and the geometric phases in this
process have the observable physical effect. 相似文献
15.
By using the Lewis-Riesenfeld invariant theory, we have studied the dynamical and the geometric phases in the interaction
system of multi-atom in micro-cavity with single-mode photon field. We find that the geometric phases in a cycle case have
nothing to do with the frequency of the photon field, the coupling coefficient between photons and atoms, and the atom transition
frequency. 相似文献
16.
Zhao-Xian Yu Zhi-Yong Jiao Chong-Long Zhang 《International Journal of Theoretical Physics》2008,47(4):955-960
We have studied the dynamical and geometric phases of a weakly interacting Bose system with a time spontaneous U(1) symmetry breaking by using of the Lewis-Riesenfeld invariant theory. The geometric Aharonov-Anandan phase is also given
under the cyclical evolution. 相似文献
17.
On the basis of the phase formulation, we find the quantum and classical exact solutions and corresponding total phases for the Klein-Gordon (KG) field with a time-dependent Hamiltonian. The total phase includes both the dynamical and geometric phases (Abaronov-Anandan phase). The connection between the quantum and classical solutions is then obtained. From this connection, we discuss the condition under which the geometric phase for the KG field can be defined. 相似文献
18.
Geometric phases are robust to local noises and the nonadiabatic ones can reduce the evolution time, thus nonadiabatic geometric gates have strong robustness and can approach high fidelity. However, the advantage of geometric phase has not been fully explored in previous investigations. Here,a scheme is proposed for universal quantum gates with pure nonadiabatic and noncyclic geometric phases from smooth evolution paths. In the scheme, only geometric phase can be accumulated in a fast way, and thus it not only fully utilizes the local noise resistant property of geometric phase but also reduces the difficulty in experimental realization. Numerical results show that the implemented geometric gates have stronger robustness than dynamical gates and the geometric scheme with cyclic path. Furthermore, it proposes to construct universal quantum gate on superconducting circuits, with the fidelities of single-qubit gate and nontrivial two-qubit gate can achieve 99.97% and 99.87%, respectively. Therefore, these high-fidelity quantum gates are promising for large-scale fault-tolerant quantum computation. 相似文献
19.
Olivier Bourget James S. Howland Alain Joye 《Communications in Mathematical Physics》2003,234(2):191-227
This paper is devoted to the spectral properties of a class of unitary operators with a matrix representation displaying
a band structure. Such band matrices appear as monodromy operators in the study of certain quantum dynamical systems. These
doubly infinite matrices essentially depend on an infinite sequence of phases which govern their spectral properties. We prove
the spectrum is purely singular for random phases and purely absolutely continuous in case they provide the doubly infinite
matrix with a periodic structure in the diagonal direction. We also study some properties of the singular spectrum of such
matrices considered as infinite in one direction only.
Received: 29 April 2002 / Accepted: 7 August 2002 Published online: 20 January 2003
Communicated by B. Simon 相似文献
20.
By using of the invariant theory, we have studied the geometric phase of quantum dots in the time-dependent isotropic magnetic field, the dynamical and geometric phases are given, respectively. 相似文献