Das, S and Dey, D and Ramasesha, S and Kumar, M (2022) Quantum phase transition in skewed ladders: an entanglement entropy and fidelity study. In: European Physical Journal B, 95 (9).
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Abstract
Abstract: Entanglement entropy (EE) of a state is a measure of correlation or entanglement between two parts of a composite system and it may show appreciable change when the ground state (GS) undergoes a qualitative change in a quantum phase transition (QPT). Therefore, the EE has been extensively used to characterise the QPT in various correlated Hamiltonians. Similarly fidelity also shows sharp changes at a QPT. We characterized the QPT of frustrated antiferromagnetic Heisenberg spin-1/2 systems on 3/4, 3/5 and 5/7 skewed ladders using the EE and fidelity analysis. It is noted that all the non-magnetic to magnetic QPT boundary in these systems can be accurately determined using the EE and fidelity, and the EE exhibits a discontinuous change, whereas fidelity shows a sharp dip at the transition points. It is also noted that in case of the degenerate GS, the unsymmetrized calculations show wild fluctuations in the EE and fidelity even without actual phase transition, however, this problem is resolved by calculating the EE and the fidelity in the lowest energy state of the symmetry subspaces, to which the degenerate states belong. Graphic abstract: Figure not available: see fulltext.
| Item Type: | Journal Article |
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| Publication: | European Physical Journal B |
| Publisher: | Springer Science and Business Media Deutschland GmbH |
| Additional Information: | The copyright for this article belongs to the Authors. |
| Keywords: | Entropy; Ladders; Phase transitions; Quantum entanglement, Antiferromagnetics; Entanglement entropy; Entanglement fidelity; Entropy analysis; Fidelity analysis; Heisenberg spins; Nonmagnetics; Qualitative changes; Quantum-phase transition; Spin 1/2, Ground state |
| Department/Centre: | Division of Chemical Sciences > Solid State & Structural Chemistry Unit |
| Date Deposited: | 13 Oct 2022 05:10 |
| Last Modified: | 13 Oct 2022 05:10 |
| URI: | https://eprints.iisc.ac.in/id/eprint/77296 |
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