Pseudo entropy and topological phases of matter

• URL: http://arxiv.org/abs/2606.29311v1
• Date: Sun, 28 Jun 2026 10:12:24 GMT
• Title: Pseudo entropy and topological phases of matter
• Abstract summary: Entanglement entropy has proven to be a powerful probe of phenomena such as quantum chaos and phase transitions.<n>We find that pseudo entropy can also serve as a novel probe for distinguishing topological phases of matter.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Entanglement entropy has proven to be a powerful probe of phenomena such as quantum chaos and phase transitions. Pseudo entropy is a recently proposed time-like generalization of an entanglement measure, motivated by de Sitter holography. In this work, we find that pseudo entropy can also serve as a novel probe for distinguishing topological phases of matter. For this, we consider the Su--Schrieffer--Heeger model as a representative example and investigate the averaged excess entropy $ΔS_{12}$, defined as the difference between pseudo entropy and the average entanglement entropy, across the topological-to-trivial and trivial-to-topological phase transitions. When the two states are in the same phase, we find that $ ΔS_{12}$ is non-positive under periodic boundary conditions, while for open boundary conditions, it is non-positive only when the system is sufficiently large. Moreover, we analyze ground-state quench protocols for topology-crossing quenches and find that the imaginary pseudo entropy tracks the critical times predicted by the Fisher zeros.

Related papers

• Entanglement signatures of quantum criticality in Floquet non-Hermitian topological systems [4.42521572408504]
  In one-dimensional single particle systems, periodic driving generates a variety of topological phases and edge modes.<n>In this work, we investigate the topological phase transition of the one-dimensional Floquet Su-Schrieffer-Heeger model using entanglement entropy.
  arXiv  Detail & Related papers  (2026-01-06T13:27:02Z)
• Squeezing generation crossing a mean-field critical point: Work statistics, irreversibility and critical fingerprints [41.99844472131922]
  A mean-field critical point in a finite-time cycle leads to constant irreversible work even in the limit of infinitely slow driving.<n>We derive analytical expressions for the work statistics and irreversible entropy, depending solely on the mean-field critical exponents.<n>We find that the probability of observing negative work values, corresponding to negative irreversible entropy, is inversely proportional to the time the system remains near to the critical point.
  arXiv  Detail & Related papers  (2025-01-20T19:00:01Z)
• The Limits of Pure Exploration in POMDPs: When the Observation Entropy is Enough [40.82741665804367]
  We study a simple approach of maximizing the entropy over observations in place true latent states. We show how knowledge of the latter can be exploited to compute a regularization of the observation entropy to improve principled performance.
  arXiv  Detail & Related papers  (2024-06-18T17:00:13Z)
• Measuring entanglement entropy and its topological signature for phononic systems [21.355338659414624]
  Entanglement entropy provides insight into the collective degrees of freedom that underlie the systems' complex behaviours. We report the experimental verification of the predictions by probing the nonlocal correlations in phononic systems. The progress here opens a frontier where entanglement entropy serves as an important experimental tool in the study of emergent phases and phase transitions.
  arXiv  Detail & Related papers  (2023-12-14T03:30:58Z)
• Entanglement phase transition due to reciprocity breaking without measurement or post-selection [59.63862802533879]
  EPT occurs for a system undergoing purely unitary evolution. We analytically derive the entanglement entropy out of and at the critical point for the $l=1$ and $l/N ll 1$ case.
  arXiv  Detail & Related papers  (2023-08-28T14:28:59Z)
• Observational entropic study of Anderson localization [0.0]
  We study the behaviour of the observational entropy in the context of localization-delocalization transition for one-dimensional Aubrey-Andr'e model. For a given coarse-graining, it increases logarithmically with system size in the delocalized phase, and obeys area law in the localized phase. We also find the increase of the observational entropy followed by the quantum quench, is logarithmic in time in the delocalized phase as well as at the transition point, while in the localized phase it oscillates.
  arXiv  Detail & Related papers  (2022-09-21T11:26:43Z)
• Topological transitions with continuously monitored free fermions [68.8204255655161]
  We show the presence of a topological phase transition that is of a different universality class than that observed in stroboscopic projective circuits. We find that this entanglement transition is well identified by a combination of the bipartite entanglement entropy and the topological entanglement entropy.
  arXiv  Detail & Related papers  (2021-12-17T22:01:54Z)
• Topological pseudo entropy [0.0]
  We introduce a pseudo entropy extension of topological entanglement entropy called topological pseudo entropy. We show that the pseudo entropy in a certain setup is equivalent to the interface entropy in two-dimensional conformal field theories. We derive a universal formula for a pair of arbitrary boundary states.
  arXiv  Detail & Related papers  (2021-07-05T05:26:17Z)
• Aspects of Pseudo Entropy in Field Theories [0.0]
  We numerically analyze a class of free scalar field theories and the XY spin model. This reveals the basic properties of pseudo entropy in many-body systems. We find that the non-positivity of the difference can be violated only if the initial and final states belong to different quantum phases.
  arXiv  Detail & Related papers  (2021-06-06T13:25:35Z)
• Catalytic Transformations of Pure Entangled States [62.997667081978825]
  Entanglement entropy is the von Neumann entropy of quantum entanglement of pure states. The relation between entanglement entropy and entanglement distillation has been known only for the setting, and the meaning of entanglement entropy in the single-copy regime has so far remained open. Our results imply that entanglement entropy quantifies the amount of entanglement available in a bipartite pure state to be used for quantum information processing, giving results an operational meaning also in entangled single-copy setup.
  arXiv  Detail & Related papers  (2021-02-22T16:05:01Z)
• Entropy and reversible catalysis [0.0]
  I show that non-decreasing entropy provides a necessary and sufficient condition to convert the state of a physical system into a different state. I show how they can be used to obtain a quantitative single-shot characterization of Gibbs states in quantum statistical mechanics.
  arXiv  Detail & Related papers  (2020-12-10T10:42:44Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.