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Time-dependent real-space renormalization-group approach: application to an adiabatic random quantum Ising model
| Content Provider | Semantic Scholar |
|---|---|
| Author | Mason, Peter Zagoskin, Alexandre M. Betouras, Joseph J. |
| Copyright Year | 2019 |
| Abstract | We develop a time-dependent real-space renormalization-group approach which can be applied to Hamiltonians with time-dependent random terms. To illustrate the renormalization-group analysis, we focus on the quantum Ising Hamiltonian with random site- and time-dependent (adiabatic) transverse-field and nearest-neighbour exchange couplings. We demonstrate how the method works in detail, by calculating the off-critical flows and recovering the ground state properties of the Hamiltonian such as magnetization and correlation functions. The adiabatic time allows us to traverse the parameter space, remaining near-to the ground state which is broadened if the rate of change of the Hamiltonian is finite. The quantum critical point, or points, depend on time through the time-dependence of the parameters of the Hamiltonian. We, furthermore, make connections with Kibble-Zurek dynamics and provide a scaling argument for the density of defects as we adiabatically pass through the critical point of the system. |
| Starting Page | 045004 |
| Ending Page | 045004 |
| Page Count | 1 |
| File Format | PDF HTM / HTML |
| DOI | 10.1088/1751-8121/aaf489 |
| Alternate Webpage(s) | https://arxiv-export-lb.library.cornell.edu/pdf/1708.05948 |
| Alternate Webpage(s) | https://arxiv.org/pdf/1708.05948v5.pdf |
| Alternate Webpage(s) | https://doi.org/10.1088/1751-8121%2Faaf489 |
| Volume Number | 52 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
