量子相变；
我们现在称这种不伴随对称性变化的相变为拓扑量子相变。
Now we name this quantum phase transition without broken symmetry as topological quantum phase transition.
其次，我们讨论了自旋为1的易磁化轴反铁磁海森堡链的量子相变。
Furthermore, the quantum phase transition in an easy-axis antiferromagnetic Heisenberg spin-1 chain is numerically studied.
在低维量子系统中，由量子涨落控制的量子相变是值得研究的问题。
In low dimensional system, quantum phase transition controlled by the quantum fluctuation is worth to study.
用量子保真度探测系统量子相变的好处是可以避免寻找系统的序参数。
Thus quantum fidelity is a useful tool in characterizing quantum phase transitions without finding an order parameter of the system.
我们发现在有能级交叉的有限大尺寸系统中，约化保真度是一个测量量子相变的有效工具。
We find the reduced fidelity is an effective tool in detecting the quantum phase transitions associated with level crossings for the finite-size systems.
根据约化密度矩阵与基态能量之间的关系，我们给出了约化保真率和量子相变之间的一般关系。
A general connection between the reduced fidelity susceptibility and quantum phase transitions is given in terms of the relation between reduced density matrix and ground-state energy.
最后我们采用李—杨零点方法对一维横场各向异性XY模型在零温下的量子相变作了较为系统的研究。
Finally, we apply the theory to study the quantum phase transitions of one-dimensional anisotropic XY quantum spin chain in a transverse field at zero temperature.
最近，人们发现对于一个量子相变系统，在它的临界点附近，量子相变系统的动力学具有极高的敏感性。
Recently, it was discovered that, near the quantum critical point the QPT system possesses the ultra-sensitivity in its dynamical evolution.
在许多多体量子系统中，随着系统某些外部参数达到它的临界值，在零温情况下量子系统会发生量子相变。
The quantum phase transition (QPT) occurs at zero temperature when the external parameters of some interacting many-body systems change to reach the critical values.
在强关联电子系统中，这种杂质量子状态的改变，即所谓杂质量子相变，可以导致出现复杂的非费米液体行为。
This kind of impurity quantum phase transition is of particularly significant in understanding the non-Fermi Liquid behavior in a large number of strongly correlated electron systems.
由于低维体系中有很强的量子涨落，使这些体系呈现出许多新奇的特性，如会有自旋准长程序、自旋能隙、量子相变等现象。
Lower dimensional AFH models show some novel properties such as quasi-long-range-order, spin gap, quantum phase transition, etc.
本文讨论了共形对称性，量子共形对称理论以及相变现象。
An introduction is given to the conformal symmetry, quantum conformal field theory and phase transition.
量子色动力学预言在高温高密条件下，有可能发生从强子物质到退紧闭的夸克-胶子等离子体的相变跃迁。
Quantum chromodaynamics predicts that at high temperature and high density a deconfined phase from hadronic matter to quark-gluon plasma will occur.
量子色动力学预言在高温高密条件下，有可能发生从强子物质到退紧闭的夸克-胶子等离子体的相变跃迁。
Quantum chromodaynamics predicts that at high temperature and high density a deconfined phase from hadronic matter to quark-gluon plasma will occur.
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