Entanglement-limited linear response in fermionic systems

• URL: http://arxiv.org/abs/2511.19415v1
• Date: Mon, 24 Nov 2025 18:53:16 GMT
• Title: Entanglement-limited linear response in fermionic systems
• Authors: Hadi Cheraghi, Ali G. Moghaddam, Teemu Ojanen,
• Abstract summary: We show that the response to perturbations coupled to the particle number within a finite region exhibits the same size scaling as the entanglement entropy of that region.<n>The resulting entanglement-governed scaling of response functions leads to unexpected physical consequences.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: We propose a general connection between entanglement-entropy scaling laws and the linear response functions of particle-conserving fermionic systems in their ground state. Specifically, we show that the response to perturbations coupled to the particle number within a finite region exhibits the same size scaling as the entanglement entropy of that region. We explicitly verify this scaling in free-fermion systems that display area-law, volume-law, and critical forms of entanglement. The resulting entanglement-governed scaling of response functions leads to unexpected physical consequences. For instance, contrary to conventional expectations, the energy absorption rate and particle-number fluctuations in gapped systems scale with the boundary of the perturbed region rather than with its volume. Our work thus establishes a direct link between linear-response properties and many-body entanglement.

Related papers

• Symmetries, Conservation Laws and Entanglement in Non-Hermitian Fermionic Lattices [37.69303106863453]
  Non-Hermitian quantum many-body systems feature steady-state entanglement transitions driven by unitary dynamics and dissipation.<n>We show that the steady state is obtained by filling single-particle right eigenstates with the largest imaginary part of the eigenvalue.<n>We illustrate these principles in the Hatano-Nelson model with periodic boundary conditions and the non-Hermitian Su-Schrieffer-Heeger model.
  arXiv  Detail & Related papers  (2025-04-11T14:06:05Z)
• Measurement-induced transitions for interacting fermions [43.04146484262759]
  We develop a field-theoretical framework that provides a unified approach to observables characterizing entanglement and charge fluctuations.<n>Within this framework, we derive a replicated Keldysh non-linear sigma model (NLSM)<n>By using the renormalization-group approach for the NLSM, we determine the phase diagram and the scaling of physical observables.
  arXiv  Detail & Related papers  (2024-10-09T18:00:08Z)
• Generalized Zeno effect and entanglement dynamics induced by fermion counting [0.0]
  We study a one-dimensional lattice system of free fermions subjected to a generalized measurement process.<n>We find that instantaneous correlations and entanglement properties of free fermions subjected to fermion counting and local occupation measurements are strikingly similar.
  arXiv  Detail & Related papers  (2024-06-11T19:46:26Z)
• Boundary effect and correlations in fermionic Gaussian states [0.0]
  Boundary effect function quantifies the change in the ground state as a function of the distance from the boundary. We perform numerical analyses of the boundary effect function for one-dimensional free-fermion models.
  arXiv  Detail & Related papers  (2024-04-15T02:46:53Z)
• Anomalous localization in spin chains with tilted interactions [0.0]
  lattice gauge theories involve dynamics of typically short-ranged interacting particles and dynamical fields. We consider localization properties of a spin chain with interaction strength growing linearly along the chain as for the Schwinger model. Our study is relevant for quantum simulators of lattice gauge theories implemented in state-of-the-art cold atom/ion devices.
  arXiv  Detail & Related papers  (2024-01-25T18:16:52Z)
• Evolution of many-body systems under ancilla quantum measurements [58.720142291102135]
  We study the concept of implementing quantum measurements by coupling a many-body lattice system to an ancillary degree of freedom. We find evidence of a disentangling-entangling measurement-induced transition as was previously observed in more abstract models.
  arXiv  Detail & Related papers  (2023-03-13T13:06:40Z)
• Logarithmic entanglement scaling in dissipative free-fermion systems [0.0]
  We study the quantum information spreading in one-dimensional free-fermion systems in the presence of localized thermal baths. We employ a nonlocal Lindblad master equation to describe the system-bath interaction.
  arXiv  Detail & Related papers  (2022-09-23T16:27:27Z)
• Indication of critical scaling in time during the relaxation of an open quantum system [34.82692226532414]
  Phase transitions correspond to the singular behavior of physical systems in response to continuous control parameters like temperature or external fields. Near continuous phase transitions, associated with the divergence of a correlation length, universal power-law scaling behavior with critical exponents independent of microscopic system details is found.
  arXiv  Detail & Related papers  (2022-08-10T05:59:14Z)
• Exact quench dynamics of symmetry resolved entanglement in a free fermion chain [0.0]
  We study the time evolution of the symmetry resolved entanglement in free fermion systems. Both entanglement entropies and mutual information show effective equipartition in the scaling limit of large time and subsystem size. We argue that the behaviour of the charged entropies can be quantitatively understood in the framework of the quasiparticle picture for the spreading of entanglement.
  arXiv  Detail & Related papers  (2021-06-24T15:50:27Z)
• Entanglement Entropy of Non-Hermitian Free Fermions [59.54862183456067]
  We study the entanglement properties of non-Hermitian free fermionic models with translation symmetry. Our results show that the entanglement entropy has a logarithmic correction to the area law in both one-dimensional and two-dimensional systems.
  arXiv  Detail & Related papers  (2021-05-20T14:46:09Z)
• Long-distance entanglement of purification and reflected entropy in conformal field theory [58.84597116744021]
  We study entanglement properties of mixed states in quantum field theory via entanglement of purification and reflected entropy. We find an elementary proof that the decay of both, the entanglement of purification and reflected entropy, is enhanced with respect to the mutual information behaviour.
  arXiv  Detail & Related papers  (2021-01-29T19:00:03Z)
• Operator-algebraic renormalization and wavelets [62.997667081978825]
  We construct the continuum free field as the scaling limit of Hamiltonian lattice systems using wavelet theory. A renormalization group step is determined by the scaling equation identifying lattice observables with the continuum field smeared by compactly supported wavelets.
  arXiv  Detail & Related papers  (2020-02-04T18:04:51Z)

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.