Higher-order topological quantum paramagnets

González-Cuadra, Daniel

doi:10.48550/arxiv.2107.10122

Cited by 1 publication

(1 citation statement)

References 104 publications

(125 reference statements)

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“…Classical HMFT computations with N =4 and N =16 clusters provide a picture consistent with Landau theory, where the Néel order melts through a second order transition into a C 4 symmetric plaquette-VBS characterized by 4-spin strongly resonating plaquettes through a second order transition, before entering the CAF through a first order transition [35]. Interestingly, upon introducing a third nearest neighbor Heisenberg interaction, the plaquette-VBS order has been argued to become stronger [50] and, more recently, to be a higher-order symmetryprotected topological phase [72]. Specifically, we perform ideal classical simulations of Q-HMFT on the J 1 -J 2 model (7), i.e.…”

Section: Numerical Resultssupporting

confidence: 62%

Variational Quantum Simulation of Valence-Bond Solids

Huerga¹

2022

Preprint

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We introduce a hybrid quantum-classical variational algorithm to simulate ground-state phase diagrams of frustrated quantum spin models in the thermodynamic limit. The method is based on a cluster-Gutzwiller ansatz where the wave function of the cluster is provided by a parameterized quantum circuit. The key ingredient is a tunable real XY gate allowing to generate valence-bonds on nearest-neighbor qubits. Additional tunable single-qubit Z-and two-qubit ZZ-rotation gates permit the description of magnetically ordered phases while efficiently restricting the variational optimization to the U(1) symmetric subspace. We benchmark the method against the paradigmatic J1-J2 Heisenberg model on the square lattice, for which the present hybrid ansatz is an exact realization of the cluster-Gutzwiller with 4-qubit clusters. In particular, we describe the Néel order and its continuous quantum phase transition onto a valence-bond solid characterized by a periodic pattern of 2×2 strongly-correlated plaquettes, providing a route to synthetically realize valence-bond solids with currently developed superconducting circuit devices.

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Section: Numerical Resultssupporting

confidence: 62%

Variational Quantum Simulation of Valence-Bond Solids

Huerga¹

2022

Preprint

View full text Add to dashboard Cite

show abstract

Higher-order topological quantum paramagnets

Cited by 1 publication

References 104 publications

Variational Quantum Simulation of Valence-Bond Solids

Variational Quantum Simulation of Valence-Bond Solids

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