期刊
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
卷 -, 期 -, 页码 -出版社
IOP PUBLISHING LTD
DOI: 10.1088/1742-5468/2014/06/P06001
关键词
spin chains; ladders and planes (theory); density matrix renormalisation group calculations; entanglement in extended quantum systems (theory); quantum quenches
资金
- John Templeton Foundation [43467]
- EPSRC [EP/L005026/1, EP/K029371/1]
- EU [618074]
- ERC QUAGATUA
- ERC OSYRIS
- EPSRC [EP/L005026/1, EP/K029371/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/K029371/1, EP/L005026/1] Funding Source: researchfish
We study the dynamics of the entanglement spectrum, that is the time evolution of the eigenvalues of the reduced density matrices after a bipartition of a one-dimensional spin chain. Starting from the ground state of an initial Hamiltonian, the state of the system is evolved in time with a new Hamiltonian. We consider both instantaneous and quasi adiabatic quenches of the system Hamiltonian across a quantum phase transition. We analyse the Ising model that can be exactly solved and the XXZ for which we employ the time-dependent density matrix renormalisation group algorithm. Our results show once more a connection between the Schmidt gap, i.e. the difference of the two largest eigenvalues of the reduced density matrix and order parameters, in this case the spontaneous magnetisation.
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