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Quantum phase transition in skewed ladders: an entanglement entropy and fidelity study

Author

Listed:
  • Sambunath Das

    (Indian Institute of Science
    S. N. Bose National Centre for Basic Sciences)

  • Dayasindhu Dey

    (Indian Institute of Science
    UGC-DAE Consortium for Scientific Research)

  • S. Ramasesha

    (Indian Institute of Science)

  • Manoranjan Kumar

    (S. N. Bose National Centre for Basic Sciences)

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

Suggested Citation

  • Sambunath Das & Dayasindhu Dey & S. Ramasesha & Manoranjan Kumar, 2022. "Quantum phase transition in skewed ladders: an entanglement entropy and fidelity study," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(9), pages 1-9, September.
    • Handle: RePEc:spr:eurphb:v:95:y:2022:i:9:d:10.1140_epjb_s10051-022-00411-z
    DOI: 10.1140/epjb/s10051-022-00411-z
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