Dissipation-induced hard-core boson gas in an optical lattice

García-Ripoll, Juan José; Dürr, Stephan; Syassen, Niels; Bauer, Dominik; Lettner, Matthias; Rempe, Gerhard; Cirac, J. I.

doi:10.1088/1367-2630/11/1/013053

Cited by 145 publications

(201 citation statements)

References 15 publications

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“…This decoherence free subspace dominates the long-time dynamics. Quantum fluctuations around the decoherence free subspace can be included perturbatively in the hopping term using the adiabatic elimination method [21,31,32]. This leads, to second order in the kinetic term of the Hamiltonian, to a virtual tunneling process of a particle to the neighbouring site, then it dissipates (at a rate γ) or dephases (due to the interaction U ), and eventually tunnels another time.…”

Section: Supplementary Materialsmentioning

confidence: 99%

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Emergence of Glasslike Dynamics for Dissipative and Strongly Interacting Bosons

et al. 2013

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We study the dynamics of a strongly interacting bosonic quantum gas in an optical lattice potential under the effect of a dissipative environment. We show that the interplay between the dissipative process and the Hamiltonian evolution leads to an unconventional dynamical behavior of local number fluctuations. In particular we show, both analytically and numerically, the emergence of an anomalous diffusive evolution in configuration space at short times and, at long times, an unconventional dynamics dominated by rare events. Such rare events, common in disordered and frustrated systems, are due here to strong interactions. This complex two-stage dynamics reveals information on the level structure of the strongly interacting gas.PACS numbers: 05.70. Ln, 03.75.Kk, 37.10.Jk, Unconventional, non-exponential, relaxation dynamics of a perturbed system towards equilibrium has attracted a lot of interest over decades. Already in 1847, Kohlrausch [1] observed a stretched exponential decay in time t, i.e. e −(t/t0) α with α ∈ (0, 1) and t 0 a positive constant, of the discharge of capacitors fabricated from glasses. Since then, such a decay has been observed in many systems such as molecules and polymers [2,3], spin glasses [4,5], nano-sized magnetic particles [6], and certainly amorphous silicon [7,8].A broad variety of theoretical approaches has been developed to explain the mechanism of this unconventional relaxation dynamics [8][9][10][11]. In many of these approaches, e.g. the treatment of the Griffiths phase in disordered spin systems [12], rare configurations have been identified to play a key role. These configurations have an exponentially small probability to occur, and therefore contribute minimally to the short-time dynamics. However, because their relaxation time scale is very long, these rare configurations can dominate the long time evolution. Rare configurations play an important role in the relaxation dynamics of glasses, where they give rise to stretched exponential decays. We will thus refer to this dynamics induced by rare events as 'glass-like' in the following.In this work, we uncover that also in a quantum many body systems, as the Bose-Hubbard model, the dissipative coupling to a Markovian, i.e. memory-less, environment can cause glass-like dynamics. We show that the long time behaviour in these systems can be dominated by rare configurations. These rare configurations are characterized by a large number of atoms occupying a single lattice site. Increasing the number of atoms on the largely occupied site is associated to a long time scale, since the energetic cost of modifying this kind of configurations is very large. Due to this long time scale, these rare configurations dominate the long time dynamics inducing an unconventional dynamics of stretched exponential form as shown, for the case of local number fluctuations κ = n 2 j − n j 2 (wheren j is the number operator of atoms on site j) in Fig. 1. Additionally, the glass-like dynamics is preceded by an algebraic relaxation process due to the int...

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Section: Supplementary Materialsmentioning

confidence: 99%

“…Here, M is the dimension of the Hilbert space at fixed atom number N , andÎ the identity operator. The approach of this steady state, can be described for γt ≫ 1, by adiabatically eliminating [13,31] the small off-diagonal elements. A closed set of classical rate equations for the diagonal elements ofρ is obtained [21,32,33].…”

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Emergence of Glasslike Dynamics for Dissipative and Strongly Interacting Bosons

et al. 2013

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“…Adiabatic elimination is commonly used in quantum optics [25][26][27] to understand, for example, the interaction of light fields with single atoms. However, in the area of strongly correlated systems, this method has only become popular recently (see for example [4,6,8,12,18,34] and references therein). The idea behind adiabatic elimination is to derive an effective description of the slow degrees of freedom, by coarse graining the time evolution and taking only virtual transitions to fast modes into account.…”

Section: Adiabatic Elimination Methodsmentioning

confidence: 99%

Dissipative quantum dynamics of fermions in optical lattices: A slave-spin approach

2014

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We investigate the influence of a Markovian environment on the dynamics of interacting spinful fermionic atoms in a lattice. In order to explore the physical phenomena occurring at short times, we develop a method based on a slave-spin representation of fermions which is amenable to the investigation of the dynamics of dissipative systems. We apply this approach to two different dissipative couplings which can occur in current experiments: a coupling via the local density and a coupling via the local double occupancy. We complement our study based on this novel method with results obtained using the adiabatic elimination technique and with an exact study of a twosite model. We uncover that the decoherence is slowed down by increasing either the interaction strength or the dissipative coupling (the Zeno effect). We also find, for the coupling to the local double occupancy, that the final steady state can sustain single-particle coherence.

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“…This dissipative process can be described by a Lindblad operator of the form: [64,65]. Starting from the master equation (9) the authors in [64] showed that strong two-body losses can create a Tonks-Girardeau gas. The term is used to describe the fact that 1D hard-core bosons can be mapped exactly to that of an identical fermionic model.…”

Section: The Bose-hubbard Modelmentioning

confidence: 99%

“…L R Figure 15: Schematic of the non-equilibrium transport scenario, described by the master equation (64).…”

Section: The Truncated Wigner Approximationmentioning

confidence: 99%

The dissipative Bose-Hubbard model

Kordas

Witthaut

Buonsante

et al. 2015

Eur. Phys. J. Spec. Top.

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Open many-body quantum systems have attracted renewed interest in the context of quantum information science and quantum transport with biological clusters and ultracold atomic gases. The physical relevance in many-particle bosonic systems lies in the realization of counterintuitive transport phenomena and the stochastic preparation of highly stable and entangled many-body states due to engineered dissipation. We review a variety of approaches to describe an open system of interacting ultracold bosons which can be modeled by a tight-binding Hubbard approximation. Going along with the presentation of theoretical and numerical techniques, we present a series of results in diverse setups, based on a master equation description of the dissipative dynamics of ultracold bosons in a one-dimensional lattice. Next to by now standard numerical methods such as the exact unravelling of the master equation by quantum jumps for small systems and beyond mean-field expansions for larger ones, we present a coherent-state path integral formalism based on Feynman-Vernon theory applied to a many-body context.

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Dissipation-induced hard-core boson gas in an optical lattice

Cited by 145 publications

References 15 publications

Emergence of Glasslike Dynamics for Dissipative and Strongly Interacting Bosons

Emergence of Glasslike Dynamics for Dissipative and Strongly Interacting Bosons

Dissipative quantum dynamics of fermions in optical lattices: A slave-spin approach

The dissipative Bose-Hubbard model

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