Non-Hermitian strongly interacting Dirac fermions: a quantum Monte-Carlo study

• URL: http://arxiv.org/abs/2302.10115v1
• Date: Mon, 20 Feb 2023 17:22:01 GMT
• Title: Non-Hermitian strongly interacting Dirac fermions: a quantum Monte-Carlo study
• Authors: Xue-Jia Yu, Zhiming Pan, Limei Xu and Zi-Xiang Li
• Abstract summary: In this letter, we investigate the interplay between non-Hermitian physics and strong correlation in Dirac-fermion systems. We decipher the ground-state phase diagram of the Honeycomb Hubbard model in the presence non-Hermitian asymmetric spin resolved hopping processes. Our study reveals that critical properties of the quantum phase transition between Dirac semi-metal and AF ordered phases are consistent with the universality class in Hermitian system.
• Score: 2.580765958706854
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Exotic quantum phases and phase transition in the strongly interacting Dirac systems has attracted tremendous interests. On the other hand, non-Hermitian physics, usually associated with dissipation arising from the coupling to environment, emerges as a frontier of modern physics in recent years. In this letter, we investigate the interplay between non-Hermitian physics and strong correlation in Dirac-fermion systems. We develop a sign-problem-free projector quantum Monte-Carlo (QMC) algorithm for the non-Hermitian interacting fermionic systems. Employing state-of-the-art projector QMC simulation, we decipher the ground-state phase diagram of the Honeycomb Hubbard model in the presence non-Hermitian asymmetric spin resolved hopping processes. Intriguingly, the antiferromagnetic ordering induced by Hubbard interaction is enhanced by the non-Hermitian asymmetric hopping. More remarkably, our study reveals that critical properties of the quantum phase transition between Dirac semi-metal and AF ordered phases are consistent with the XY universality class in Hermitian system, implying Hermiticity is emergent at the quantum critical point. The numerically-exact QMC approach utilized in this study is easily applied to other non-Hermitian interacting fermionic models, hence paving a new avenue to investigating quantum many-body physics in non-Hermitian systems.

Related papers

• Preempting Fermion Sign Problem: Unveiling Quantum Criticality through Nonequilibrium Dynamics [4.1098478048719524]
  We propose an innovative framework based on nonequilibrium critical dynamics to preempt sign problem. By virtue of universal scaling theory of imaginary-time relaxation dynamics, we demonstrate that accurate critical point and critical exponents can be obtained in the short-time stage. We for the first time reveal the quantum phase diagram in the Hubbard model hosting $rm SU(3)$-symmetric Dirac fermions.
  arXiv  Detail & Related papers  (2024-10-24T15:37:45Z)
• Nontrivial worldline winding in non-Hermitian quantum systems [3.8601741392210434]
  We investigate non-Hermitian physics in interacting quantum systems, e.g., various non-Hermitian quantum spin chains. We study the direct physical implications of such nontrivial worldline winding, which bring additional, potentially quasi-long-range contributions to the entanglement entropy.
  arXiv  Detail & Related papers  (2023-07-03T18:00:02Z)
• Quantum Effects on the Synchronization Dynamics of the Kuramoto Model [62.997667081978825]
  We show that quantum fluctuations hinder the emergence of synchronization, albeit not entirely suppressing it. We derive an analytical expression for the critical coupling, highlighting its dependence on the model parameters.
  arXiv  Detail & Related papers  (2023-06-16T16:41:16Z)
• Dipolar quantum solids emerging in a Hubbard quantum simulator [45.82143101967126]
  Long-range and anisotropic interactions promote rich spatial structure in quantum mechanical many-body systems. We show that novel strongly correlated quantum phases can be realized using long-range dipolar interaction in optical lattices. This work opens the door to quantum simulations of a wide range of lattice models with long-range and anisotropic interactions.
  arXiv  Detail & Related papers  (2023-06-01T16:49:20Z)
• Quantum simulation of topological zero modes on a 41-qubit superconducting processor [22.990199532365097]
  We develop a one-dimensional 43-qubit superconducting quantum processor named as Chuang-tzu. By engineering diagonal Aubry-Andr$acutemathrme$-Harper (AAH) models, we experimentally demonstrate the Hofstadter butterfly energy spectrum. Using Floquet engineering, we verify the existence of the topological zero modes in the commensurate off-diagonal AAH models.
  arXiv  Detail & Related papers  (2022-11-10T04:56:37Z)
• Continuous phase transition induced by non-Hermiticity in the quantum contact process model [44.58985907089892]
  How the property of quantum many-body system especially the phase transition will be affected by the non-hermiticity remains unclear. We show that there is a continuous phase transition induced by the non-hermiticity in QCP. We observe that the order parameter and susceptibility display infinitely even for finite size system, since non-hermiticity endows universality many-body system with different singular behaviour from classical phase transition.
  arXiv  Detail & Related papers  (2022-09-22T01:11:28Z)
• Probing phase transitions in non-Hermitian systems with Multiple Quantum Coherences [0.0]
  We show the usefulness of multiple quantum coherences for probing equilibrium phase transitions in non-Hermitian systems. Our results have applications to non-Hermitian quantum sensing, quantum thermodynamics, and in the study of the non-Hermitian skin effect.
  arXiv  Detail & Related papers  (2021-09-06T14:30:47Z)
• Non-equilibrium stationary states of quantum non-Hermitian lattice models [68.8204255655161]
  We show how generic non-Hermitian tight-binding lattice models can be realized in an unconditional, quantum-mechanically consistent manner. We focus on the quantum steady states of such models for both fermionic and bosonic systems.
  arXiv  Detail & Related papers  (2021-03-02T18:56:44Z)
• Observation of non-Hermitian topology with non-unitary dynamics of solid-state spins [6.692477608972573]
  Non-Hermitian topological phases exhibit a number of exotic features. Non-Hermitian Su-Schrieffer-Heeger (SSH) Hamiltonian is prototypical model for studying non-Hermitian topological phases.
  arXiv  Detail & Related papers  (2020-12-16T19:00:04Z)
• Probing non-Hermitian phase transitions in curved space via quench dynamics [0.0]
  Non-Hermitian Hamiltonians are relevant to describe the features of a broad class of physical phenomena. We study the interplay of geometry and non-Hermitian dynamics by unveiling the existence of curvature-dependent non-Hermitian phase transitions.
  arXiv  Detail & Related papers  (2020-12-14T19:47:59Z)
• Probing eigenstate thermalization in quantum simulators via fluctuation-dissipation relations [77.34726150561087]
  The eigenstate thermalization hypothesis (ETH) offers a universal mechanism for the approach to equilibrium of closed quantum many-body systems. Here, we propose a theory-independent route to probe the full ETH in quantum simulators by observing the emergence of fluctuation-dissipation relations. Our work presents a theory-independent way to characterize thermalization in quantum simulators and paves the way to quantum simulate condensed matter pump-probe experiments.
  arXiv  Detail & Related papers  (2020-07-20T18:00:02Z)

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.