Realising the Symmetry-Protected Haldane Phase in Fermi-Hubbard Ladders

• URL: http://arxiv.org/abs/2103.10421v2
• Date: Fri, 10 Sep 2021 16:05:53 GMT
• Title: Realising the Symmetry-Protected Haldane Phase in Fermi-Hubbard Ladders
• Authors: Pimonpan Sompet, Sarah Hirthe, Dominik Bourgund, Thomas Chalopin, Julian Bibo, Joannis Koepsell, Petar Bojovi\'c, Ruben Verresen, Frank Pollmann, Guillaume Salomon, Christian Gross, Timon A. Hilker, Immanuel Bloch
• Abstract summary: Topology in quantum many-body systems has profoundly changed our understanding of quantum phases of matter. Here, we realise such a topological Haldane phase with Fermi-Hubbard ladders in an ultracold-atom quantum simulator.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Topology in quantum many-body systems has profoundly changed our understanding of quantum phases of matter. The paradigmatic model that has played an instrumental role in elucidating these effects is the antiferromagnetic spin-1 Haldane chain. Its ground state is a disordered state, with symmetry-protected fourfold-degenerate edge states due to fractional spin excitations. In the bulk, it is characterised by vanishing two-point spin correlations, gapped excitations, and a characteristic non-local order parameter. More recently it was understood that the Haldane chain forms a specific example of a more general classification scheme of symmetry protected topological (SPT) phases of matter that is based on ideas connecting to quantum information and entanglement. Here, we realise such a topological Haldane phase with Fermi-Hubbard ladders in an ultracold-atom quantum simulator. We directly reveal both edge and bulk properties of the system through the use of single-site and particle-resolved measurements as well as non-local correlation functions. Continuously changing the Hubbard interaction strength of the system allows us to investigate the robustness of the phase to charge (density) fluctuations far from the regime of the Heisenberg model employing a novel correlator.

Related papers

• 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. Within this framework, we derive a replicated Keldysh non-linear sigma model (NLSM) 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)
• Cavity Control of Topological Qubits: Fusion Rule, Anyon Braiding and Majorana-Schrödinger Cat States [39.58317527488534]
  We investigate the impact of introducing a local cavity within the center of a topological chain. This cavity induces a scissor-like effect that bisects the chain, liberating Majorana zero modes (MZMs) within the bulk. By leveraging the symmetry properties of fermion modes within a two-site cavity, we propose a novel method for generating MZM-polariton Schr"odinger cat states.
  arXiv  Detail & Related papers  (2024-09-06T18:00:00Z)
• Constructing the spin-1 Haldane phase on a qudit quantum processor [0.0]
  We use trapped-ion qutrits to engineer spin-1 chains within the Haldane phase. We study the topological features of this system on a qudit quantum processor.
  arXiv  Detail & Related papers  (2024-08-08T18:00:49Z)
• Signatures of Quantum Phase Transitions in Driven Dissipative Spin Chains [0.0]
  We show that a driven-dissipative quantum spin chain exhibits a peculiar sensitivity to the ground-state quantum phase transition. We develop a versatile analytical approach that becomes exact with vanishing dissipation.
  arXiv  Detail & Related papers  (2024-05-30T22:25:15Z)
• Signatures of quantum phases in a dissipative system [13.23575512928342]
  Lindbladian formalism has been all-pervasive to interpret non-equilibrium steady states of quantum many-body systems. We study the fate of free fermionic and superconducting phases in a dissipative one-dimensional Kitaev model.
  arXiv  Detail & Related papers  (2023-12-28T17:53:26Z)
• 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)
• Emergence of non-Abelian SU(2) invariance in Abelian frustrated fermionic ladders [37.69303106863453]
  We consider a system of interacting spinless fermions on a two-leg triangular ladder with $pi/2$ magnetic flux per triangular plaquette. Microscopically, the system exhibits a U(1) symmetry corresponding to the conservation of total fermionic charge, and a discrete $mathbbZ$ symmetry. At the intersection of the three phases, the system features a critical point with an emergent SU(2) symmetry.
  arXiv  Detail & Related papers  (2023-05-11T15:57:27Z)
• 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)
• Geometric phases along quantum trajectories [58.720142291102135]
  We study the distribution function of geometric phases in monitored quantum systems. For the single trajectory exhibiting no quantum jumps, a topological transition in the phase acquired after a cycle. For the same parameters, the density matrix does not show any interference.
  arXiv  Detail & Related papers  (2023-01-10T22:05:18Z)
• Gauge-theoretic origin of Rydberg quantum spin liquids [0.0]
  We introduce an exact relation between an Ising-Higgs lattice gauge theory on the kagome lattice and blockaded models on Ruby lattices. This relation elucidates the origin of previously observed topological spin liquids by directly linking the latter to a deconfined phase of a solvable gauge theory.
  arXiv  Detail & Related papers  (2022-05-25T18:19:26Z)
• Entanglement and classical correlations at the doping-driven Mott transition in the two-dimensional Hubbard model [0.0]
  We study the doped Hubbard model in two dimensions from the perspective of quantum information theory. We find that upon varying doping these two entanglement-related properties detect the Mott insulating phase, the strongly correlated pseudogap phase, and the metallic phase.
  arXiv  Detail & Related papers  (2020-07-01T15:48:48Z)

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.