Phase diagram of Landau-Zener phenomena in coupled one-dimensional Bose quantum fluids

Caballero-Benítez, Santiago F.; Paredes, R.

doi:10.1103/physreva.85.023605

Cited by 17 publications

(17 citation statements)

References 17 publications

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“…In view of the results obtained here, this could trigger the formation of stripes where transport could be manipulated via disorder induced localisation. Moreover, dynamical effects in adiabatic and non-adiabatic transfer protocols for the engineering of quantum states could be analysed 90,91 . Beyond ultracold atoms, systems of ions 92 , superconducting devices (Circuit-QED) 93 , polariton systems 94,95 and the addition of high-Q cavities 96 offer opportunities to test our findings analogously via quantum simulation 97,98 .…”

Section: Model: Weakly Interacting Ultracold Atoms In 2d Disordered Lmentioning

confidence: 99%

Localisation of weakly interacting bosons in two dimensions: disorder vs lattice geometry effects

González-García¹,

Caballero-Benítez²,

Paredes

2019

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We investigate the effects of disorder and lattice geometry against localisation phenomena in a weakly interacting ultracold bosonic gas confined in a 2D optical lattice. The behaviour of the quantum fluid is studied at the mean-field level performing computational experiments, as a function of disorder strength for lattices of sizes similar to current experiments. Quantification of localisation, away from the Bose glass phase, was obtained directly from the stationary density profiles through a robust statistical analysis of the condensate component, as a function of the disorder amplitude. Our results show a smooth transition, or crossover, to localisation induced by disorder in square and triangular lattices. In contrast, associated to its larger tunneling amplitude, honeycomb lattices show absence of localisation for the same range of disorder strengths and same lattice amplitude, while also exhibiting partial localisation for large disorder amplitudes. We also conclude that the coordination number z have a partial influence on how fast this smooth transition occurs as the system size increases. Signatures of disorder are also found in the ground state energy spectrum, where a continuous distribution emerges instead of a distribution of sharp peaks proper to the system in the absence of disorder.

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Section: Model: Weakly Interacting Ultracold Atoms In 2d Disordered Lmentioning

confidence: 99%

Localisation of weakly interacting bosons in two dimensions: disorder vs lattice geometry effects

González-García¹,

Caballero-Benítez²,

Paredes

2019

Sci Rep

Self Cite

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“…The paradigmatic example being the LZ model in which the diabatic energy levels cross each other linearly in time [1,2]. The latter had been generalized to both multi-level systems [3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18] and many-body setups [19][20][21][22][23][24][25][26][27]. If driven periodically across an avoided level crossing, the separate LZTs interfere, leading to Landau-Zener-Stückelberg (LZS) interferometry [28].…”

Section: Introductionmentioning

confidence: 99%

Landau-Zener transitions and adiabatic impulse approximation in an array of two Rydberg atoms with time-dependent detuning

Niranjan

Nath

2020

Phys. Rev. A

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We study the Landau-Zener (LZ) dynamics in a setup of two Rydberg atoms with time-dependent detuning, both linear and periodic, using both the exact numerical calculations as well as the method of adiabatic impulse approximation (AIA). By varying the Rydberg-Rydberg interaction strengths, the system can emulate different three-level LZ models, for instance, bow-tie and triangular LZ models. The LZ dynamics exhibits non-trivial dependence on the initial state, the quench rate, and the interaction strengths. For large interaction strengths, the dynamics is well captured by AIA. In the end, we analyze the periodically driven case, and AIA reveals a rich phase structure involved in the dynamics. The latter may find applications in quantum state preparation, quantum phase gates, and atom interferometry.

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“…As the path of the particle is split at the first level crossing and then merges at the second, such a physical scenario realises a type of interferometry in the energymomentum space, namely the so-called Landau-Zener-Stückelberg (LZS) interferometry. Due to their ubiquity and fundamental importance, the LZ transition and * shenx@sustech.edu.cn † lizhi_phys@m.scnu.edu.cn ‡ wuzg@sustech.edu.cn LZS interferometry have been studied experimentally in a wide range of physical systems such as the nano-structure [9][10][11], the Bose-Einstein condensates [12][13][14] and the superconducting qubits [15,16], to name just a few.…”

Section: Introductionmentioning

confidence: 99%

Landau-Zener-Stückelberg interferometry in PT -symmetric non-Hermitian models

Shen¹,

Wang²,

Li³

et al. 2019

Phys. Rev. A

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We systematically investigate the non-Hermitian generalisations of the Landau-Zener (LZ) transition and the Landau-Zener-Stückelberg (LZS) interferometry. The LZ transition probabilities, or band populations, are calculated for a generic non-Hermitian model and their asymptotic behaviour analysed. We then focus on non-Hermitian systems with a real adiabatic parameter and study the LZS interferometry formed out of two identical avoided level crossings. Four distinctive cases of interferometry are identified and the analytic formulae for the transition probabilities are calculated for each case. The differences and similarities between the non-Hermitian case and its Hermitian counterpart are emphasised. In particular, the geometrical phase originated from the sign change of the mass term at the two level crossings is still present in the non-Hermitian system, indicating its robustness against the non-Hermiticity. We further apply our non-Hermitian LZS theory to describing the Bloch oscillation in one-dimensional parity-time (PT ) reversal symmetric non-Hermitian Su-Schrieffer-Heeger model and propose an experimental scheme to simulate such dynamics using photonic waveguide arrays. The Landau-Zener transition, as well as the LZS interferometry, can be visualised through the beam intensity profile and the transition probabilitiess measured by the centre of mass of the profile. arXiv:1909.05001v2 [quant-ph]

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Phase diagram of Landau-Zener phenomena in coupled one-dimensional Bose quantum fluids

Cited by 17 publications

References 17 publications

Localisation of weakly interacting bosons in two dimensions: disorder vs lattice geometry effects

Localisation of weakly interacting bosons in two dimensions: disorder vs lattice geometry effects

Landau-Zener transitions and adiabatic impulse approximation in an array of two Rydberg atoms with time-dependent detuning

Landau-Zener-Stückelberg interferometry in PT -symmetric non-Hermitian models

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