Dynamics in centrally coupled spin systems
ORAL
Abstract
In recent years, locally interacting system with static disorder, such as e.g. a random-field Ising chain with nearest neighbour interactions, aroused much attention as these systems can exhibit many-body localization. Many-body localized systems are systems which fail to equilibrate locally under unitary time evolution due to the absence of transport and the emergence of quasi-local integrals of motions, and thus, retaining information about the initial state in local observables.
In our work, we explore the dynamics of a spin-chain with a local antiferromagnetic interaction, and non-local spin-flip interactions induced by coupling of the spins to a central d-level system(qudit). The non-local interaction induced by the centrally coupled qudit makes the simulation challenging. We employ the multilayer multiconfiguration time-dependent Hartree approach [2,3] to simulate the dynamics of moderately large spin chains in a numerically exact way. Using this approach, we examine dynamical properties of the spin chain and the qudit, with particular focus on the question whether the system retains information about the initial state in local observables.
[1] Phys. Rev. B 82, 174411 (2010)
[2] J. Chem. Phys. 119, 1289 (2003)
[3] J. Chem. Phys. 134, 044135 (2011)
In our work, we explore the dynamics of a spin-chain with a local antiferromagnetic interaction, and non-local spin-flip interactions induced by coupling of the spins to a central d-level system(qudit). The non-local interaction induced by the centrally coupled qudit makes the simulation challenging. We employ the multilayer multiconfiguration time-dependent Hartree approach [2,3] to simulate the dynamics of moderately large spin chains in a numerically exact way. Using this approach, we examine dynamical properties of the spin chain and the qudit, with particular focus on the question whether the system retains information about the initial state in local observables.
[1] Phys. Rev. B 82, 174411 (2010)
[2] J. Chem. Phys. 119, 1289 (2003)
[3] J. Chem. Phys. 134, 044135 (2011)
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Presenters
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Sebastian Wenderoth
University of Freiburg, Physics, University of Freiburg
Authors
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Sebastian Wenderoth
University of Freiburg, Physics, University of Freiburg
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Nathan Ng
University of California, Berkeley
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Michael Kolodrubetz
University of Texas at Dallas
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Eran Rabani
University of California, Berkeley
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Michael Thoss
Univ Freiburg, University of Freiburg, Physics, University of Freiburg