Deformed band structures at high spin in 
<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mmultiscripts><mml:mi>Tl</mml:mi><mml:mprescripts /><mml:none /><mml:mn>200</mml:mn></mml:mmultiscripts></mml:math>

Bhattacharya, Subhashish; Bhattacharyya, S.; Gupta, S. Das; Pai, H.; Mukherjee, G.; Palit, R.; Fang, Xu; Wu, Qiang; Shrivastava, A.; Asgar, Md. A.; Banik, R.; Bhattacharjee, T.; Chanda, S.; Chatterjee, A.; Goswami, A.; Nanal, V.; Pandit, S. K.; Saha, S.; Sethi, J.; Roy, Tufan; Thakur, Shital

doi:10.1103/physrevc.95.014301

Cited by 13 publications

(10 citation statements)

References 38 publications

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“…Purity, similar to the correlation measures studied previously is a monotone under Markovian evolutions. However under non-Markovian evolutions temporary revivals in purity can be observed in the form of oscillations, this idea has been exploited and studied as a measure of non-Markovianity [60].…”

Section: Quantum Puritymentioning

confidence: 99%

Non-Markovian Evolution: a Quantum Walk Perspective

Kumar

Banerjee

Srikanth

et al. 2018

Open Syst. Inf. Dyn.

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Quantum non-Markovianity of a quantum noisy channel is typically identified with information backflow, or, more generally, with departure of the intermediate map from complete positivity. But here, we also indicate certain non-Markovian channels that can't be witnessed by the CP-divisibility criterion. In complex systems, non-Markovianity becomes more involved on account of subsystem dynamics. Here we study various facets of non-Markovian evolution, in the context of coined quantum walks, with particular stress on disambiguating the internal vs. environmental contributions to non-Markovian backflow. For the above problem of disambiguation, we present a general power-spectral technique based on a distinguishability measure such as trace-distance or correlation measure such as mutual information. We also study various facets of quantum correlations in the transition from quantum to classical random walks, under the considered non-Markovian noise models. The potential for the application of this analysis to the quantum statistical dynamics of complex systems is indicated.

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Section: Quantum Puritymentioning

confidence: 99%

Non-Markovian Evolution: a Quantum Walk Perspective

Kumar

Banerjee

Srikanth

et al. 2018

Open Syst. Inf. Dyn.

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“…In particular, we recover for p = 1 the case of a single spin coupled uniformly to an environment of spins: this is the celebrated central spin model, which has been extensively studied before, see e.g. [25,26,42]. Note that the Hamiltonian (4) of the system S depends on the size of the environment through the interaction constant J ij = J/N .…”

Section: Infinite Range Ising Modelmentioning

confidence: 99%

“…One can get the corresponding Kraus representation (see e.g. [53]) and deduce from it the master equation for the reduced density matrix [26,54]…”

Section: Comparison With Other Non-markovianity Measures For Systementioning

confidence: 99%

“…II). Even when the dynamics of the system and its environment is known, evaluating analytically measures of non-Markovianity is often a difficult task, so that up to now only a limited number of analytical results have been obtained [24][25][26]. The aim of this work is to contribute to the analytical treatment of non-Markovianity in the case of spin ensembles undergoing pure dephasing dynamics, with a particular emphasis on the thermodynamic limit of infinitely many spins in the system and/or the environment.…”

Section: Introductionmentioning

confidence: 99%

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Analytical results for the quantum non-Markovianity of spin ensembles undergoing pure dephasing dynamics

2018

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We study analytically the non-Markovianity of a spin ensemble, with arbitrary number of spins and spin quantum number, undergoing a pure dephasing dynamics. The system is considered as a part of a larger spin ensemble of any geometry with pairwise interactions. We derive exact formulas for the reduced dynamics of the system and for its non-Markovianity as assessed by the witness of Lorenzo et al. [Phys. Rev. A 88, 020102(R) (2013)]. The non-Markovianity is further investigated in the thermodynamic limit when the environment's size goes to infinity. In this limit and for finite-size systems, we find that the Markovian's character of the system's dynamics crucially depends on the range of the interactions. We also show that, when the system and its environment are initially in a product state, the appearance of non-Markovianity is independent of the entanglement generation between the system and its environment. arXiv:1803.04519v2 [quant-ph]

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“…In odd-odd nuclei, the energy spectrum is quite rich as compared to even-even and odd-mass nuclei due to extra neutron-proton coupling. Recently, in odd-odd 194−200 Tl isotopes, band structures have been populated beyond the first band crossing and it has been spectulated that near degeneracy of the yrast and the side band energies, observed in some of these isotopes, may be a consequence of the chiral symmetry breaking mechanism [3,4,5,6]. In these isotopes, band structures have oneproton and three-neutron, πh 9/2 ⊗ νi −3 13/2 configuration at higher spins and one-proton and one-neutron, πh 9/2 ⊗νi −1 13/2 configuration at lower spins.…”

Section: Introductionmentioning

confidence: 99%

High-Spin Doublet Band Structures in odd-odd $^{194-200}$Tl isotopes

Jehangir,

Maqbool,

Bhat

et al. 2020

Preprint

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The basis space in the triaxial projected shell model (TPSM) approach is generalized for odd-odd nuclei to include two-neutron and two-proton configurations on the basic one-neutron coupled to one-proton quasiparticle state. The generalization allows to investigate odd-odd nuclei beyond the band crossing region and as a first application of this development, high-spin band structures recently observed in odd-odd 194−200 Tl isotopes are investigated. In some of these isotopes, the doublet band structures observed after the band crossing have been conjuctured to arise from the spontaneous breaking of the chiral symmetry. The driving configuration of the chiral symmetry in these odd-odd isotopes is one-proton and three-neutrons rather than the basic one-proton and one-neutron as already observed in many other nuclei. It is demonstrated using the TPSM approach that energy differences of the doublet bands in 194 Tl and 198 Tl are, indeed, small. However, the differences in the calculated transition probabilities are somewhat larger than what is expected in the chiral symmetry limit. Experimental data on the transition probabilities is needed to shed light on the chiral nature of the doublet bands.

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Deformed band structures at high spin in Tl200

Cited by 13 publications

References 38 publications

Non-Markovian Evolution: a Quantum Walk Perspective

Non-Markovian Evolution: a Quantum Walk Perspective

Analytical results for the quantum non-Markovianity of spin ensembles undergoing pure dephasing dynamics

High-Spin Doublet Band Structures in odd-odd $^{194-200}$Tl isotopes

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