Capturing the re‐entrant behavior of one‐dimensional Bose–Hubbard model

Pino, Manuel del; Prior, Javier; Clark, Stephen R. L.

doi:10.1002/pssb.201248308

Cited by 8 publications

(7 citation statements)

References 35 publications

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“…1.11 we see that all three phases can indeed be distinguished. In the 1D BHM there is no sharp MI-SF phase transition in 1D at a fixed density [72][73][74][75][76] just like in Figs. 1.10(d,e) if we follow the transition through the tip of the lobe which corresponds to a line of unit density.…”

Section: Mapping the Quantum Phase Diagram: Bose Glass Mott Insulator...mentioning

confidence: 60%

“…Detecting the boundaries of quantum phases is especially important in low dimensions, where the mean-field (MF) approaches do not work. A prominent example is the Bose-Hubbard model in 1D [72][73][74][75][76]. Observing the transition in 1D by light at fixed density was considered to be difficult [77] or even impossible [78].…”

Section: Mapping the Quantum Phase Diagram: Bose Glass Mott Insulator...mentioning

confidence: 99%

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Quantum optics of ultracold quantum gases: open systems beyond dissipation (habilitation thesis)

Mekhov¹

2022

Preprint

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1 Both quantum optics and physics of ultracold quantum gases are well-established fields of modern quantum science forming the basis for emerging quantum technologies, quantum information, and quantum artificial intelligence. Nevertheless, until recently the interaction between them was practically absent: in all experiments and in the majority of theories of ultracold gases, the quantum nature of light plays no role. In this work, we consider systems and phenomena, where the quantumness of both light and ultracold matter is equally important. Therefore, quantum optics of ultracold quantum gases describes the ultimate quantum level of light-matter interaction predicting phenomena unobtainable in standard problems of ultracold atoms trapped in prescribed optical potentials, e.g., optical lattices.First, we show that light can serve as a quantum nondemolition (QND) probe of the atomic many-body phases: the phases can be distinguished by measuring their statistical properties from nontrivial correlation functions to full distribution functions of many-body variables (we give examples for bosons, fermions, and dipolar molecules). We demonstrate that light scattering is not only sensitive to the on-site atomic densities, but also to the matter-field interference at its shortest possible distance in an optical lattice. Second, we prove that the backaction of quantum measurements constitutes a novel source of competitions in many-body systems, which is especially pronounced, when the measurements are not QND ones. This leads to a plethora of novel phenomena: macroscopic oscillations of multipartite entangled matter modes, measurementinduced protection and break-up of fermion pairs, generation of antiferromagnetic orders, novel long-range pair correlated tunnelling and entanglement beyond the standard Hubbard models. We prove that the feedback control can induce phase transitions in quantum systems and tune their critical exponents and universality class. Third, the quantization of optical trapping potential (quantum optical lattices) leads to novel many-body phases of ultracold atoms, including both the density orders (e.g. lattice supersolids and density waves) and orders of matter-field coherences (e.g. bond orders such as superfluid and supersolid dimers, trimers, etc.)The general results applicable beyond physics of ultracold atoms are the following. We extend the paradigm of feedback control from the quantum state control to the control of phase transitions, including tuning their universality class. We present the backaction of quantum measurements as a novel source of competitions in many-body physics. We merge the paradigms of quantum Zeno dynamics and non-Hermitian physics, and introduce a novel type of quantum Zeno phenomena with Raman-like transitions well beyond the standard concept of Zeno dynamics. We propose a concept of quantum simulators based on the collective light-matter interaction with the interplay of long-and short-range interactions. Our models can be applied to other arrays of quantum particles...

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Section: Mapping the Quantum Phase Diagram: Bose Glass Mott Insulator...mentioning

confidence: 60%

Section: Mapping the Quantum Phase Diagram: Bose Glass Mott Insulator...mentioning

confidence: 99%

Quantum optics of ultracold quantum gases: open systems beyond dissipation (habilitation thesis)

Mekhov¹

2022

Preprint

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“…6 we see that all three phases can indeed be distinguished. In the 1D BHM there is no sharp MI-SF phase transition in 1D at a fixed density [40][41][42][43][44] just like in Figs. 5(d,e) if we follow the transition through the tip of the lobe which corresponds to a line of unit density.…”

Section: Mapping the Quantum Phase Diagrammentioning

confidence: 60%

“…However, there are many situations where the MF approximation is not a valid description of the physics. A prominent example is the BHM in 1D [40][41][42][43][44]. Observing the transition in 1D by light at fixed density was considered to be difficult [10] or even impossible [45].…”

Section: Mapping the Quantum Phase Diagrammentioning

confidence: 99%

Probing matter-field and atom-number correlations in optical lattices by global nondestructive addressing

2015

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We show that light scattering from an ultracold gas reveals not only density correlations, but also matter-field interference at its shortest possible distance in an optical lattice, which defines key properties such as tunnelling and matter-field phase gradients. This signal can be enhanced by concentrating probe light between lattice sites rather than at density maxima. As addressing between two single sites is challenging, we focus on global nondestructive scattering, allowing probing order parameters, matter-field quadratures and their squeezing. The scattering angular distribution displays peaks even if classical diffraction is forbidden and we derive generalized Bragg conditions. Light scattering distinguishes all phases in the Mott insulator -superfluid -Bose glass phase transition.

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“…Ref. [22], including in particular the 'reentrant behavior' [23] (see also Ref. [25]) characteristic of the one-dimensional Bose-Hubbard model.…”

Section: The Ground-state Phase Diagrammentioning

confidence: 99%

Delocalization and superfluidity of ultracold bosonic atoms in a ring lattice

Pinheiro¹,

Piza²

2013

J. Phys. B: At. Mol. Opt. Phys.

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Properties of bosonic atoms in small systems with a periodic quasi one-dimensional circular toroidal lattice potential subjected to rotation are examined by performing exact diagonalization in a truncated many body space. The expansion of the many-body Hamiltonian is considered in terms of the first band Bloch functions, and no assumption regarding restriction to nearest-neighbor hopping (tight-binding approximation) is involved. A finite size version of the zero temperature phase diagrams of Fisher et al. [19] is obtained and the results, in remarkable quantitative correspondence with the results available for larger systems, discussed. Ground state properties relating to superfluidity are examined in the context of two-fluid phenomenology. The basic tool, consisting of the intrinsic inertia associated with small rotation angular velocities in the lab frame, is used to obtain ground state 'superfluid fractions' numerically. They are analytically associated with one-body, uniform solenoidal currents in the case of the adopted geometry. These currents are in general incoherent superpositions of contributions from each eigenstate of the associated reduced one-body densities, with the corresponding occupation numbers as weights. Full coherence occurs therefore only when only one eigenstate is occupied by all bosons. The obtained numerical values for the superfluid fractions remain small throughout the parameter region corresponding to the 'Mott insulator to superfluid' transition, and saturate at unity only as the lattice is completely smoothed out.

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Capturing the re‐entrant behavior of one‐dimensional Bose–Hubbard model

Cited by 8 publications

References 35 publications

Quantum optics of ultracold quantum gases: open systems beyond dissipation (habilitation thesis)

Quantum optics of ultracold quantum gases: open systems beyond dissipation (habilitation thesis)

Probing matter-field and atom-number correlations in optical lattices by global nondestructive addressing

Delocalization and superfluidity of ultracold bosonic atoms in a ring lattice

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