In terms of reflection transformation of a matrix product state （MPS）, the parity of the MPS is defined. Based on the reflective parity non-conserved MPS pair we construct the even-parity state ｜ψe〉 and the odd-p...In terms of reflection transformation of a matrix product state （MPS）, the parity of the MPS is defined. Based on the reflective parity non-conserved MPS pair we construct the even-parity state ｜ψe〉 and the odd-parity state ｜ψσ〉. It is interesting to find that the parity non-conserved reflective MPS pair have no long-range correlations; instead the even-parity state ｜ψe〉 and the odd-parity state ｜ψo〉 constructed from them have the same long-range correlations for the parity non-conserved block operators. Moreover, the entanglement between a block of n contiguous spins and the rest of the spin chain for the states ｜ψe〉 and ｜ψo〉 is larger than that for the reflective MPS pair except for n = 1, and the difference of them approaches 1 monotonically and asymptotically from 0 as n increases from 1. These characteristics indicate that MPS parity as a conserved physical quantity represents a kind of coherent collective quantum mode, and that the parity conserved MPSs contain more correlation, coherence, and entanglement than the parity non-conserved ones.展开更多
In this paper, we investigate conservation laws of a class of partial differential equations, which combines the nonlinear telegraph equations and the nonlinear diffusion-convection equations. Moreover, some special c...In this paper, we investigate conservation laws of a class of partial differential equations, which combines the nonlinear telegraph equations and the nonlinear diffusion-convection equations. Moreover, some special conservation laws of the combined equations are obtained by means of symmetry classifications of wave equations uxx = H （x）utt.展开更多
The law of conservation of energy is one of the most fundamental laws of nature.According to the law of the conservation of energy,the non-linear and non-conservative quasi-variational principle of flexible body dynam...The law of conservation of energy is one of the most fundamental laws of nature.According to the law of the conservation of energy,the non-linear and non-conservative quasi-variational principle of flexible body dynamics is established.The physical meaning of the quasi-stationary value conditions has been explained in non-linear and non-conservative flexible body dynamics.In the case study,the application in spacecraft dynamics is researched.展开更多
基金Supported by the Scientific Research Foundation of CUIT under Grant No.KYTZ201024the National Natural Science Foundation of China under Grant Nos.10775100,10974137 the Fund of Theoretical Nuclear Center of HIRFL of China
文摘In terms of reflection transformation of a matrix product state （MPS）, the parity of the MPS is defined. Based on the reflective parity non-conserved MPS pair we construct the even-parity state ｜ψe〉 and the odd-parity state ｜ψσ〉. It is interesting to find that the parity non-conserved reflective MPS pair have no long-range correlations; instead the even-parity state ｜ψe〉 and the odd-parity state ｜ψo〉 constructed from them have the same long-range correlations for the parity non-conserved block operators. Moreover, the entanglement between a block of n contiguous spins and the rest of the spin chain for the states ｜ψe〉 and ｜ψo〉 is larger than that for the reflective MPS pair except for n = 1, and the difference of them approaches 1 monotonically and asymptotically from 0 as n increases from 1. These characteristics indicate that MPS parity as a conserved physical quantity represents a kind of coherent collective quantum mode, and that the parity conserved MPSs contain more correlation, coherence, and entanglement than the parity non-conserved ones.
文摘In this paper, we investigate conservation laws of a class of partial differential equations, which combines the nonlinear telegraph equations and the nonlinear diffusion-convection equations. Moreover, some special conservation laws of the combined equations are obtained by means of symmetry classifications of wave equations uxx = H （x）utt.
基金supported by the National Natural Science Foundation of China(Grant No.10272034)the Fundamental Research Funds for the Central Universities of China(Grant No.HEUCF130205)
文摘The law of conservation of energy is one of the most fundamental laws of nature.According to the law of the conservation of energy,the non-linear and non-conservative quasi-variational principle of flexible body dynamics is established.The physical meaning of the quasi-stationary value conditions has been explained in non-linear and non-conservative flexible body dynamics.In the case study,the application in spacecraft dynamics is researched.
