Lieb-Liniger model of a dissipation-induced Tonks-Girardeau gas

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

doi:10.1103/physreva.79.023614

Cited by 73 publications

(92 citation statements)

References 37 publications

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“…This gives rise to the possibility of resonances in the reaction rates. Highly reactive molecules in reduced dimensional lattice structures can also experience the Zeno effect, where reaction rates can be suppressed through many-body correlations that develop (Syassen et al 2008, Dürr et al 2009, Zhu et al 2014. However, we will not treat such correlations or the Zeno effect here.…”

Section: Introductionmentioning

confidence: 99%

Reactive collisions in confined geometries

2015

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We consider low energy threshold reactive collisions of particles interacting via a van der Waals potential at long range in the presence of external confinement and give analytic formulas for the confinement modified scattering in such circumstances. The reaction process is described in terms of the short range reaction probability. Quantum defect theory is used to express elastic and inelastic or reaction collision rates analytically in terms of two dimensionless parameters representing phase and reactivity. We discuss the modifications to Wigner threshold laws for quasi-one-dimensional and quasi-two-dimensional geometries. Confinement-induced resonances are suppressed due to reactions and are completely absent in the universal limit where the short-range loss probability approaches unity. OPEN ACCESS RECEIVED

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Section: Introductionmentioning

confidence: 99%

Reactive collisions in confined geometries

2015

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“…The time evolution within a higher-dimensional dark space can correspond to interesting effective many-body Hamiltonians. Examples include the recently observed dissipative Tonks-Girardeau gas of atoms [10] or corresponding proposals for photons [11].…”

Section: Introductionmentioning

confidence: 99%

Critical exponents of steady-state phase transitions in fermionic lattice models

2012

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We discuss reservoir-induced phase transitions of lattice fermions in the nonequilibrium steady state of an open system with local reservoirs. These systems may become critical in the sense of a diverging correlation length on changing the reservoir coupling. We here show that the transition to a critical state is associated with a vanishing gap in the damping spectrum. It is shown that, although in linear systems there can be a transition to a critical state, there is no reservoir-induced quantum phase transition between distinct phases with a nonvanishing damping gap. We derive the static and dynamical critical exponents corresponding to the transition to a critical state and show that their possible values, defining universality classes of reservoir-induced phase transitions, are determined by the coupling range of the independent local reservoirs. If a reservoir couples to N neighboring lattice sites, the critical exponent can assume all fractions from 1 to 1/(N − 1).

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“…As in Ref. [19], large kinetic energy of fermions in the outgoing channels (which for reactive molecules can correspond to temperatures in the 10 K range) guarantees they will be rapidly lost from any typical atom trap, justifying a Born-Markov approximation. Given a density matrix % for the system (fermions, Hilbert space S) plus reservoir (outgoing channels of the inelastic collisions, Hilbert space R), the Born-Markov approximation leads to a master equation for the system reduced density matrix ¼ Tr R ½% [20]:…”

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confidence: 97%

“…We estimate that this pulse can be achieved on the & 100 s time scale without exciting transverse excitations in the tubes (which, if present, violate the assumption of a 1D geometry and destroy the uniqueness of the steady state). Thus the transfer into 3 P 0 is sufficiently fast that it can be considered instantaneous on the initial time scale of reactive collisions-which, based on universal considerations for a Lieb-Liniger gas, we estimate to be * 1 ms for experimentally relevant 1D densities [19]-such that it suddenly initiates strong twobody s-wave losses.…”

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Steady-State Many-Body Entanglement of Hot Reactive Fermions

et al. 2012

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Entanglement is typically created via systematic intervention in the time evolution of an initially unentangled state, which can be achieved by coherent control, carefully tailored nondemolition measurements, or dissipation in the presence of properly engineered reservoirs. In this Letter we show that two-component Fermi gases at ~μK temperatures naturally evolve, in the presence of reactive two-body collisions, into states with highly entangled (Dicke-type) spin wave functions. The entanglement is a steady-state property that emerges-without any intervention-from uncorrelated initial states, and could be used to improve the accuracy of spectroscopy in experiments with fermionic alkaline earth atoms or fermionic ground state molecules.

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Lieb-Liniger model of a dissipation-induced Tonks-Girardeau gas

Cited by 73 publications

References 37 publications

Reactive collisions in confined geometries

Reactive collisions in confined geometries

Critical exponents of steady-state phase transitions in fermionic lattice models

Steady-State Many-Body Entanglement of Hot Reactive Fermions

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