Management of the correlations of UltracoldBosons in triple wells

Dutta, Sunayana; Tsatsos, Marios C.; Basu, Saurabh; Lode, Axel U. J.

doi:10.1088/1367-2630/ab117d

Cited by 15 publications

(11 citation statements)

References 70 publications

(127 reference statements)

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“…A discussion on the convergence, particularly in orbital number, can be found in the supplementary material [75] (including Refs. [76][77][78][79][80][81]). For support and documentation, the website of the MCTDH-X software, http://ultracold.org [37], the MCTDH-X manual [74] and the email address mctdhx@ultracold.org are available.…”

Section: Workflowmentioning

confidence: 99%

MCTDH-X: The multiconfigurational time-dependent Hartree method for indistinguishable particles software

Lin

Molignini

Papariello

et al. 2020

Quantum Sci. Technol.

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We introduce and describe the multiconfigurational time-depenent Hartree for indistinguishable particles (MCTDH-X) software, which is hosted, documented, and distributed at http://ultracold.org. This powerful tool allows the investigation of ground state properties with time-independent Hamiltonians, and dynamics of interacting quantum many-body systems in different spatial dimensions. The MCTDH-X software is a set of programs and scripts to compute, analyze, and visualize solutions for the time-dependent and time-independent many-body Schrödinger equation for indistinguishable quantum particles. As the MCTDH-X software represents a general solver for the Schrödinger equation, it is applicable to a wide range of problems in the fields of atomic, optical, molecular physics as well as condensed matter systems. In particular, it can be used to study light-matter interactions, correlated dynamics of electrons in solid states, as well as some aspects related to quantum information and computing. The MCTDH-X software solves a set of non-linear coupled working equations based on the application of the variational principle to the Schrödinger equation. These equations are obtained by using an ansatz for the many-body wavefunction that is a time-dependent expansion in a set of time-dependent, fully symmetrized bosonic (X=B) or fully anti-symmetrized fermionic (X=F) many-body basis states. It is the time-dependence of the basis set, that enables MCTDH-X to deal with quantum dynamics at a superior accuracy as compared to, for instance, exact diagonalization approaches with a static basis, where the number of basis states necessary to capture the dynamics of the wavefunction typically grows rapidly with time.Herein, we give an introduction to the MCTDH-X software via an easy-to-follow tutorial with a focus on accessibility.The illustrated exemplary problems are hosted at http://ultracold.org/tutorial and consider the physics of a few interacting bosons or fermions in a double-well potential. We explore computationally the position-space and momentum-space density, the one-body reduced density matrix, Glauber correlation functions, phases, (dynamical) phase transitions as well as the imaging of the quantum systems. Although a few particles in a double well potential represent a minimal model system, we are able to demonstrate a rich variety of phenomena with it. We use the double well to illustrate the fermionization of bosonic particles, the crystallization of fermionic particles, characteristics of the superfluid and Mott-insulator quantum phases in Hubbard models, and even dynamical phase transitions. We provide a complete set of input files and scripts to redo all computations in this paper at http://ultracold.org/data/tutorial_input_files.zip, accompanied by tutorial videos at https://www.youtube.com/playlist?list=PLJIFUqmSeGBKxmLcCuk6dpILnni_uIFGu. Our tutorial should guide the potential users to apply the MCTDH-X software also to more complex systems. arXiv:1911.00525v2 [cond-mat.quant-gas] 16 Jan 2020The time-dependen...

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Section: Workflowmentioning

confidence: 99%

MCTDH-X: The multiconfigurational time-dependent Hartree method for indistinguishable particles software

Lin

Molignini

Papariello

et al. 2020

Quantum Sci. Technol.

Self Cite

View full text Add to dashboard Cite

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“…Ideally, the exact solution of the numerical problem is found when an infinite number of orbitals is used [39,40,70]. MCTDH-X has been successfully applied for investigating the static and dynamic behaviors of Bose-Hubbard systems [22,23,62,63,[71][72][73][74]. A more detailed description of the method can be found in Appendix C. The number of orbitals used in a simulation depends on the nature of the quantum state of interest.…”

Section: Methodsmentioning

confidence: 99%

Mott transition in a cavity-boson system: A quantitative comparison between theory and experiment

et al. 2021

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The competition between short-range and cavity-mediated infinite-range interactions in a cavity-boson system leads to the existence of a superfluid phase and a Mott-insulator phase within the self-organized regime. In this work, we quantitatively compare the steady-state phase boundaries of this transition measured in experiments and simulated using the Multiconfigurational Time-Dependent Hartree Method for Indistinguishable Particles. To make the problem computationally feasible, we represent the full system by the exact many-body wave function of a two-dimensional four-well potential. We argue that the validity of this representation comes from the nature of both the cavity-atomic system and the Bose-Hubbard physics. Additionally, we show that the chosen representation only induces small systematic errors, and that the experimentally measured and theoretically predicted phase boundaries agree reasonably well. We thus demonstrate a new approach for the quantitative numerical modeling for the physics of the superfluid--Mott-insulator phase boundary.

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“…A key focus of the applications of MCTDH-B has been the emergence of fragmentation [ 60 , 61 , 62 ], where the reduced one-body density matrix has multiple significant eigenvalues, see, for instance, Refs. [ 54 , 63 , 64 , 65 , 66 , 67 , 68 , 69 , 70 ]. To obtain the results presented in this work, we used the MCTDH-X software hosted at (accessed on

-day, 14 March 2021), see References [ 38 , 50 , 71 , 72 , 73 , 74 ].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of Ultracold Bosons in Artificial Gauge Fields—Angular Momentum, Fragmentation, and the Variance of Entropy

Lode

Dutta

Lévêque

2021

Entropy

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We consider the dynamics of two-dimensional interacting ultracold bosons triggered by suddenly switching on an artificial gauge field. The system is initialized in the ground state of a harmonic trapping potential. As a function of the strength of the applied artificial gauge field, we analyze the emergent dynamics by monitoring the angular momentum, the fragmentation as well as the entropy and variance of the entropy of absorption or single-shot images. We solve the underlying time-dependent many-boson Schrödinger equation using the multiconfigurational time-dependent Hartree method for indistinguishable particles (MCTDH-X). We find that the artificial gauge field implants angular momentum in the system. Fragmentation—multiple macroscopic eigenvalues of the reduced one-body density matrix—emerges in sync with the dynamics of angular momentum: the bosons in the many-body state develop non-trivial correlations. Fragmentation and angular momentum are experimentally difficult to assess; here, we demonstrate that they can be probed by statistically analyzing the variance of the image entropy of single-shot images that are the standard projective measurement of the state of ultracold atomic systems.

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Management of the correlations of UltracoldBosons in triple wells

Cited by 15 publications

References 70 publications

MCTDH-X: The multiconfigurational time-dependent Hartree method for indistinguishable particles software

MCTDH-X: The multiconfigurational time-dependent Hartree method for indistinguishable particles software

Mott transition in a cavity-boson system: A quantitative comparison between theory and experiment

Dynamics of Ultracold Bosons in Artificial Gauge Fields—Angular Momentum, Fragmentation, and the Variance of Entropy

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