Replica symmetry breaking in the Bose glass

Thomson, S. J.; Krüger, Frank

doi:10.1209/0295-5075/108/30002

Cited by 11 publications

(21 citation statements)

References 64 publications

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“…In the studies with mean field theory, EAOP was first introduced to detect the non trivial breaking of ergodicity. Since then various type of EAOP have been proposed in literature [43,44,47,48]. In our study we consider the EAOP of the following form [43] q EA = n p,q 2 − n p,q…”

Section: B Edwards-anderson Order Parametermentioning

confidence: 99%

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Enhancement of the Bose glass phase in the presence of an artificial gauge field

et al. 2019

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We examine the effects of an artificial gauge field and finite temperature in a two-dimensional disordered Bose-Hubbard model. The disorder considered is diagonal and quenched in nature. A signature of disorder in the Bose-Hubbard model is the Bose glass phase. Our work shows that the introduction of an artificial gauge field enhances the domain of the Bose glass phase in the phase diagram. Most importantly, the size of the domain can be tuned with the strength of the artificial gauge field. The introduction of the finite temperature effects is essential to relate theoretical results with the experimental realizations. For our studies we use the single site and cluster Gutzwiller mean-field theories. The results from the latter are more reliable as it better describes the correlation effects. Our results show that the Bose glass phase has a larger domain with the latter method.arXiv:1807.00269v2 [cond-mat.quant-gas]

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Section: B Edwards-anderson Order Parametermentioning

confidence: 99%

“…[42] suggests measuring the radius of the atomic cloud. Replica symmetry breaking [43,44] also has been proposed as a possible detection scheme. In spite of these various proposals and progresses towards the realization of a Bose glass, a clear and unambiguous experimental evidence of BG phase is yet to be achieved.…”

Section: Introductionmentioning

confidence: 99%

Enhancement of the Bose glass phase in the presence of an artificial gauge field

et al. 2019

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“…By analogy with spin glass systems [57,58], various Edwards-Anderson-like order parameters for the Bose glass have been proposed [31,49,59,60]. The Edwards-Anderson order parameter originally arose in the meanfield theory of spin glasses as an indicator of the nontrivial breaking of ergodicity in a disordered system.…”

Section: Edwards-anderson Order Parametermentioning

confidence: 99%

Measuring the Edwards-Anderson order parameter of the Bose glass: A quantum gas microscope approach

et al. 2016

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With the advent of spatially resolved fluorescence imaging in quantum gas microscopes, it is now possible to directly image glassy phases and probe the local effects of disorder in a highly controllable setup. Here we present numerical calculations using a spatially-resolved local mean-field theory, show that it captures the essential physics of the disordered system and use it to simulate the density distributions seen in single-shot fluorescence microscopy. From these simulated images we extract local properties of the phases which are measurable by a quantum gas microscope and show that unambiguous detection of the Bose glass is possible. In particular, we show that experimental determination of the Edwards-Anderson order parameter is possible in a strongly correlated quantum system using existing experiments. We also suggest modifications to the experiments which will allow further properties of the Bose glass to be measured.

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“…We allow for replica symmetry breaking (RSB) and replace g by a matrix g αβ of general Parisi hierarchical form [53]. In previous work [40] we examined this model and showed the presence of 1-step RSB. Here we will show that RSB is responsible for the finite compressibility of the Bose glass.…”

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“…To be more precise, λ(u) is a step function with λ(u < u c ) = λ 0 = 0 and λ(u > u c ) = λ 1 =λ where the step position is u c = 1/2ρ 0 [40]. Specifying to this step function, we obtain the set of RG equations given in the Letter.…”

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Bose and Mott glass phases in dimerized quantum antiferromagnets

Thomson

Krüger

2015

Phys. Rev. B

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We examine the effects of disorder on dimerized quantum antiferromagnets in a magnetic field, using the mapping to a lattice gas of hard-core bosons with finite-range interactions. Combining a strong-coupling expansion, the replica method, and a one-loop renormalization group analysis, we investigate the nature of the glass phases formed. We find that away from the tips of the Mott lobes, the transition is from a Mott insulator to a compressible Bose glass, however the compressibility at the tips is strongly suppressed. We identify this finding with the presence of a rare Mott glass phase not previously described by any analytic theory for this model and demonstrate that the inclusion of replica symmetry breaking is vital to correctly describe the glassy phases. This result suggests that the formation of Bose and Mott glass phases is not simply a weak localization phenomenon but is indicative of much richer physics. We discuss our results in the context of both ultracold atomic gases and spin-dimer materials. The disordered Bose-Hubbard model is an ideal system for the thorough study of the effects of disorder on strongly interacting quantum systems. Ultracold atoms in optical lattices [1][2][3][4][5] perhaps offer the most direct experimental system in which to realize Bose-Hubbard physics, however the small system sizes and destructive nature of many measurements limit the efficacy of experiments. Dimerized quantum antiferromagnets present a compelling alternative environment due to an exact mapping to a lattice gas of bosons with hard-core repulsion [6][7][8]. These systems consist of lattices of pairs of spins (dimers) which, in the ground state, are all in a singlet configuration. This state can be viewed as an 'empty' lattice while a local triplet excitation can be thought of as a site occupied by a spin-1 boson ('triplon').Condensation of these bosons corresponds to exotic magnetically ordered states seen in materials such as [18][19][20]. These systems provide excellent experimental setups to probe quantum critical behavior through field-and pressuretuning, and have motivated some notable theoretical works based on bond-operator techniques [21][22][23][24].Recent experiments on disordered quantum antiferromagnets have seen evidence for novel glassy phases, particularly in bromine-doped dichloro-tetrakis-thioureanickel (DTN) [25] where both Bose and Mott glass phases of bosonic quasiparticles have been observed. Such phases have also been seen in other materials [26][27][28][29] and in quantum Monte Carlo simulations [30][31][32][33][34].Motivated by these experimements, in this Letter we present an analytic treatment of dimerized quantum antiferromagnets with weak intra-dimer bond disorder us- ing the hard-core boson formalism. We perform a strong coupling expansion [35,36] combined with a replica disorder average to derive an effective field theory. From a renormalization group (RG) analysis we obtain the phase boundaries between the gapped magnetic states -or in boson language, incompressible Mott ins...

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Replica symmetry breaking in the Bose glass

Cited by 11 publications

References 64 publications

Enhancement of the Bose glass phase in the presence of an artificial gauge field

Enhancement of the Bose glass phase in the presence of an artificial gauge field

Measuring the Edwards-Anderson order parameter of the Bose glass: A quantum gas microscope approach

Bose and Mott glass phases in dimerized quantum antiferromagnets

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