Quantum phase transitions in a model Hamiltonian exhibiting entangled simultaneous fermion-pair and exciton condensations

Warren, Samuel; Sager, LeeAnn M.; Mazziotti, David A.

doi:10.1103/physrevb.106.165107

Cited by 3 publications

(2 citation statements)

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“…There is also an advantage in terms of the unique parameter count (in our case, it is just 2 for each unit cell) and also auxiliary Hamiltonians with reduced number of measurables (see Auxillary Hamiltonians with Reduced Measurements section) and reduced number of shots, thereby reducing statistical error. The simplification we used for the reduction in the unique parameter count based on symmetry arguments can be adopted for other larger lattices with other symmetries depending on the topology of the lattice (for example, looks at cylindrical and torus topology out of many) and also for simulating correlated states in other problems like exciton condensates , and simultaneous Fermion-exciton condensates that has been recently realized. , …”

Section: Discussionmentioning

confidence: 72%

“…The simplification we used for the reduction in the unique parameter count based on symmetry arguments can be adopted for other larger lattices with other symmetries depending on the topology of the lattice (for example, 42 looks at cylindrical and torus topology out of many) and also for simulating correlated states in other problems like exciton condensates 56,57 and simultaneous Fermion-exciton condensates that has been recently realized. 58,59 Since our method entails preparing RVBs in real quantum devices with high fidelity, this holds significance across multiple areas of physics and chemistry, even beyond the domain of quantum spin liquids. This is because the ground-state preparation carried out in this paper would serve as a starting step for various studies one could conduct on systems that support RVBs as their ground states and be an impetus for areas in physical chemistry wherein they feature extensively.…”

Section: ■ Conclusionmentioning

confidence: 99%

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Physics-Inspired Quantum Simulation of Resonating Valence Bond States─A Prototypical Template for a Spin-Liquid Ground State

Sajjan,

Gupta,

Kale

et al. 2023

J. Phys. Chem. A

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Spin liquids�an emergent, exotic collective phase of matter�have garnered enormous attention in recent years. While experimentally many prospective candidates have been proposed and realized, theoretically modeling real materials that display such behavior may pose serious challenges due to the inherently high correlation content of such phases. Over the last few decades, the second-quantum revolution has been the harbinger of a novel computational paradigm capable of initiating a foundational evolution in computational physics. In this report, we strive to use the power of the latter to study a prototypical model, a spin-1/2-unit cell of a Kagome antiferromagnet. Extended lattices of such unit cells are known to possess a magnetically disordered spin-liquid ground state. We employ robust classical numerical techniques such as the density-matrix renormalization group (DMRG) to identify the nature of the ground state through a matrix-product state (MPS) formulation. We subsequently use the gained insight to construct an auxiliary Hamiltonian with reduced measurables and also design an ansatz that is modular and gate-efficient. With robust error-mitigation strategies, we are able to demonstrate that the said ansatz is capable of accurately representing the target ground state even on a real IBMQ backend within 1% accuracy in energy. Since the protocol is linearly scaling O(n) in the number of unit cells, gate requirements, and the number of measurements, it is straightforwardly extendable to larger Kagome lattices that can pave the way for efficient construction of spin-liquid ground states on a quantum device.

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Section: Discussionmentioning

confidence: 72%

Section: ■ Conclusionmentioning

confidence: 99%

Physics-Inspired Quantum Simulation of Resonating Valence Bond States─A Prototypical Template for a Spin-Liquid Ground State

Sajjan,

Gupta,

Kale

et al. 2023

J. Phys. Chem. A

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Magnetic phases of spatially modulated spin-1 chains in Rydberg excitons: Classical and quantum simulations

Sajjan

Alaeian

Kais

2022

The Journal of Chemical Physics

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In this work, we study the magnetic phases of a spatially-modulated chain of spin-1 Rydberg excitons. Using the Density Matrix Renormalization Group (DMRG) technique we study various magnetic and topologically nontrivial phases using both single-particle properties like local magnetization and quantum entropy as well as many-body ones like pair-wise Néel and long-range string correlations. In particular, we investigate the emergence and robustness of Haldane phase, a topological phase of anti-ferromagnetic spin-1 chains. Further, we devise a hybrid quantum algorithm employing Restricted Boltzmann Machine to simulate the ground state of such a system which shows very good agreement with the results of exact diagonalization (ED) and DMRG.

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Elementary Collective Effects in Systems Containing Small Fermion-Numbers

Plastino,

Monteoliva,

Plastino

2024

Recent Prog Mater

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Quantum phase transitions in a model Hamiltonian exhibiting entangled simultaneous fermion-pair and exciton condensations

Cited by 3 publications

References 57 publications

Physics-Inspired Quantum Simulation of Resonating Valence Bond States─A Prototypical Template for a Spin-Liquid Ground State

Physics-Inspired Quantum Simulation of Resonating Valence Bond States─A Prototypical Template for a Spin-Liquid Ground State

Magnetic phases of spatially modulated spin-1 chains in Rydberg excitons: Classical and quantum simulations

Elementary Collective Effects in Systems Containing Small Fermion-Numbers

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