Calculating strongly correlated ground states from the non-Markovian dissipative dynamics of Gaussian fermions

• URL: http://arxiv.org/abs/2607.06293v1
• Date: Tue, 07 Jul 2026 14:01:10 GMT
• Title: Calculating strongly correlated ground states from the non-Markovian dissipative dynamics of Gaussian fermions
• Abstract summary: We map the Fermi-Hubbard Hamiltonian onto Lindblad jump operators acting on Majorana fermions.<n>We show that finite particle number requires negative dissipative rates, leading to an intrinsically non-Markovian dynamics.
• Score: 0.0
• License: http://creativecommons.org/licenses/by-nc-nd/4.0/
• Abstract: We introduce a mapping between the ground state of interacting fermionic Hamiltonians and the non-equilibrium steady state of a purely dissipative open quantum system. Within the framework of third quantization, we map the Fermi-Hubbard Hamiltonian onto Lindblad jump operators acting on Majorana fermions. Remarkably, both hopping and interaction terms map onto jump operators that preserve the Gaussianity of Majorana fermions along individual quantum trajectories. As a result, the dynamics can be unravelled and each trajectory can be simulated efficiently using only two-point correlation functions, with a computational cost that scales polynomially with system size. We further show that finite particle number requires negative dissipative rates, leading to an intrinsically non-Markovian dynamics. The corresponding trajectory unravelling involves both positive and negative stochastic weights and exhibits a sign problem and large fluctuations, so that convergence requires an exponentially large number of trajectories. The overall computational cost remains exponential in system size despite the efficient Gaussian representation of individual trajectories, but is crucially dependent on the computational complexity of the non-Markovian unravelling, motivating further studies on the efficiency of such unravellings.

Related papers

• Classical simulation of free-fermionic dynamics and quantum chemistry with magic input [0.15554979526414522]
  We show that for a class of paired non-Gaussian fermionic states, quantum simulation primitives can be efficiently approximated to additive error under free-fermionic dynamics.
  arXiv  Detail & Related papers  (2026-04-29T15:42:59Z)
• Symmetry-protected topology and deconfined solitons in a multi-link $\mathbb{Z}_2$ gauge theory [45.88028371034407]
  We study a $mathbbZ$ lattice gauge theory defined on a multi-graph with links that can be visualized as great circles of a spherical shell.<n>We show that this leads to state-dependent tunneling amplitudes underlying a phenomenon analogous to the Peierls instability.<n>By performining a detailed analysis based on matrix product states, we prove that charge deconfinement emerges as a consequence of charge-fractionalization.
  arXiv  Detail & Related papers  (2026-03-02T22:59:25Z)
• Replica Keldysh field theory of quantum-jump processes: General formalism and application to imbalanced and inefficient fermion counting [0.0]
  We develop a comprehensive replica Keldysh field theory for general quantum-jump processes in bosonic and fermionic systems.<n>Our formalism provides a unified description of pure-state quantum trajectories under efficient detection and mixed-state dynamics.
  arXiv  Detail & Related papers  (2025-12-18T13:34:00Z)
• Real-time collisions of fractional charges in a trapped-ion Jackiw-Rebbi field theory [39.146761527401424]
  We study the effect of back-reaction and quantum fluctuations on the coupled dynamics of the full fermion-boson system.<n>Our results reveal how back-reaction and quantum fluctuations modify the stability and real-time evolution of fractionalized fermions.
  arXiv  Detail & Related papers  (2025-12-08T17:34:53Z)
• Grassmann Variational Monte Carlo with neural wave functions [45.935798913942904]
  We formalize the framework introduced by Pfau et al.citepfau2024accurate in terms of Grassmann geometry of the Hilbert space.<n>We validate our approach on the Heisenberg quantum spin model on the square lattice, achieving highly accurate energies and physical observables for a large number of excited states.
  arXiv  Detail & Related papers  (2025-07-14T13:53:13Z)
• Quantum channel for modeling spin-motion dephasing in Rydberg chains [44.99833362998488]
  We introduce a quantum channel to model the dissipative dynamics resulting from the coupling between spin and motional degrees of freedom in chains of neutral atoms with Rydberg interactions.<n>We benchmark the accuracy of our approach against exact diagonalization for small systems, identifying its regime of validity and the onset of perturbative breakdown.<n>We then apply the quantum channel to compute fidelity loss during transport of single-spin excitations across extended Rydberg chains in intractable regimes via exact diagonalization.
  arXiv  Detail & Related papers  (2025-06-30T17:37:38Z)
• Efficient simulation of non-trivial dissipative spin chains via stochastic unraveling [0.0]
  We present a new technique for efficiently simulating a class of one-dimensional (1D) dissipative spin chains that, when mapped to fermions, have quadratic Hamiltonians.<n>We show that many such Lindblad master equations admit an exact unraveling, with individual trajectories evolving as Gaussian fermionic states.<n>This allows one to calculate arbitrary observables efficiently without sign problems, and with bounded complexity sampling.
  arXiv  Detail & Related papers  (2025-03-30T14:56:03Z)
• Quantum work statistics across a critical point: full crossover from sudden quench to the adiabatic limit [27.336283729673195]
  Adiabatic and sudden-quench limits have been studied in detail, but the quantum work statistics along the crossover connecting these limits has largely been an open question.<n>Here we obtain exact scaling functions for the work statistics along the full crossover from adiabatic to sudden-quench limits for critical quantum impurity problems.<n>These predictions can be tested in charge-multichannel Kondo quantum dot devices, where the dissipated work corresponds to the creation of nontrivial excitations.
  arXiv  Detail & Related papers  (2025-02-03T18:36:07Z)
• Realization of strongly-interacting Meissner phases in large bosonic flux ladders [36.136619420474766]
  We experimentally realize the strongly-interacting Mott-Meissner phase in large-scale bosonic flux ladders with 48 sites at half filling.<n>Our results demonstrate the feasibility of scaling periodically driven quantum systems to large, strongly correlated phases.
  arXiv  Detail & Related papers  (2024-12-12T17:27:49Z)
• Entanglement Transition due to particle losses in a monitored fermionic chain [0.0]
  We study the dynamics of the entanglement entropy scaling under quantum entanglement jumps.<n>We show that by tuning the system parameters, a measurement-induced transition occurs where the entanglement entropy changes from logarithmic to area-law.
  arXiv  Detail & Related papers  (2024-08-07T11:30:09Z)
• Dilute neutron star matter from neural-network quantum states [58.720142291102135]
  Low-density neutron matter is characterized by the formation of Cooper pairs and the onset of superfluidity. We model this density regime by capitalizing on the expressivity of the hidden-nucleon neural-network quantum states combined with variational Monte Carlo and reconfiguration techniques.
  arXiv  Detail & Related papers  (2022-12-08T17:55:25Z)
• Simultaneous Transport Evolution for Minimax Equilibria on Measures [48.82838283786807]
  Min-max optimization problems arise in several key machine learning setups, including adversarial learning and generative modeling. In this work we focus instead in finding mixed equilibria, and consider the associated lifted problem in the space of probability measures. By adding entropic regularization, our main result establishes global convergence towards the global equilibrium.
  arXiv  Detail & Related papers  (2022-02-14T02:23:16Z)
• Lindbladian dissipation of strongly-correlated quantum matter [0.9290757451344674]
  The Sachdev-Ye-Kitaev Lindbladian is a paradigmatic solvable model of dissipative many-body quantum chaos. Analytical progress is possible by developing a mean-field theory for the Liouvillian time evolution on the Keldysh contour.
  arXiv  Detail & Related papers  (2021-12-22T18:17:52Z)

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.