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of 181
pro vyhledávání: '"Batchelor, Murray T."'
Spontaneous symmetry breaking (SSB) with type-B Goldstone modes is investigated in the macroscopically degenerate phase for a quantum spin-1 many-body system with competing dimer and trimer interactions. The SSB involves three distinct patterns. The
Externí odkaz:
http://arxiv.org/abs/2403.06825
In this article we outline the historical development and key results obtained to date for free parafermionic spin chains. The concept of free parafermions provides a natural N-state generalization of free fermions, which have long underpinned the ex
Externí odkaz:
http://arxiv.org/abs/2311.04582
It is found that the staggered $\rm SU(4)$ ferromagnetic spin-orbital model accommodates highly degenerate ground states arising from spontaneous symmetry breaking with type-B Goldstone modes. The spontaneous symmetry breaking pattern is ${\rm SU(4)}
Externí odkaz:
http://arxiv.org/abs/2309.04973
A generic scheme is proposed to perform a finite-entanglement scaling analysis for scale-invariant states, which appear to be highly degenerate ground states arising from spontaneous symmetry breaking with type-B Goldstone modes. This allows us to ex
Externí odkaz:
http://arxiv.org/abs/2309.04953
Publikováno v:
J. Phys. A: Math. Theor. 57 305001 (2024)
This paper presents two methods for topological analysis of the complex Hermitian Su-Schrieffer-Heeger (SSH) model using the quantum geometric tensor: Berry phase and topological data analysis. We demonstrate how both methods can effectively generate
Externí odkaz:
http://arxiv.org/abs/2308.04626
A universal finite system-size scaling analysis of the entanglement entropy is presented for highly degenerate ground states arising from spontaneous symmetry breaking with type-B Goldstone modes in exactly solvable one-dimensional quantum many-body
Externí odkaz:
http://arxiv.org/abs/2304.11339
Ferromagnetic ground states have often been overlooked in comparison to seemingly more interesting antiferromagnetic ground states. However, both the physical and mathematical structure of ferromagnetic ground states are particularly rich. We show th
Externí odkaz:
http://arxiv.org/abs/2302.13126
Autor:
Henry, Robert A., Batchelor, Murray T.
Publikováno v:
SciPost Phys. 15, 016 (2023)
Certain spin chains, such as the quantum Ising chain, have free fermion spectra which can be expressed as the sum of decoupled two-level fermionic systems. Free parafermions are a simple generalisation of this idea to $Z(N)$-symmetric clock models. I
Externí odkaz:
http://arxiv.org/abs/2301.11031
Autor:
Lu, Xilin, Li, Hui, Shi, Jia-Kai, Fan, Li-Bao, Mangazeev, Vladimir, Li, Zi-Min, Batchelor, Murray T.
Publikováno v:
Phys. Rev. A 108, 053712 (2023)
In this work, we explore the PT-symmetric quantum Rabi model, which describes a PT-symmetric qubit coupled to a quantized light field. By employing the adiabatic approximation (AA), we are able to solve this model analytically in the parameter regime
Externí odkaz:
http://arxiv.org/abs/2212.06586
Publikováno v:
New J. Phys. 24 058001 (2022)
We discuss the elementary errors in D.G. Zhang's [New. J. Phys. 23, 093014 (2021)] claimed exact solution of the quantum Rabi model. The erroneous solution is seen to be nothing more than the combined solution of the simpler Jaynes-Cummings and anti-
Externí odkaz:
http://arxiv.org/abs/2111.05091