Analogies of the classical Euler top with a rotor to spin squeezing and quantum phase transitions in a generalized Lipkin-Meshkov-Glick model

Opatrný, Tomáš; Richterek, Lukáš; Opatrný, Martin

doi:10.1038/s41598-018-20486-y

Cited by 11 publications

(13 citation statements)

References 98 publications

(190 reference statements)

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“…Dynamical phase transitions have been demonstrated in quench experiments with cold atoms in optical lattices [20][21][22] and cavities [23], trapped ions [24,25], and with superconducting qubits [26]. At the same time, excited-state quantum phase (ESQP) transitions have been shown to occur in a variety of models [27][28][29][30][31][32][33], and have been observed in superconducting microwave Dirac billiards [34]. Recently, dynamical and ESQP transitions have been theoretically [35,36] and experimentally [37,38] studied in spin-1 BECs with spin-changing collisions.…”

Section: Introductionmentioning

confidence: 99%

Excited-state quantum phase transitions in spin-orbit coupled Bose gases

Cabedo,

Celi

2021

Preprint

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Excited-state quantum phase transitions depend on and reveal the structure of the whole spectrum of many-body systems. While they are theoretically well understood, finding suitable signatures and detect them in actual experiments remains challenging. For instance, in spinor gases, excitedstate phases have been identified and characterized through a topological order parameter that is challenging to measure in experiments. Here, we propose the Raman-dressed spin-orbit coupled gas as a novel platform to explore excited-state quantum phase transitions. In a weakly-coupled regime, the dressed system is equivalent to a spinor gas with tunable spin-spin interactions. Through this equivalence we are able to define a new excited-state phase of the dressed gas. The phase is characterize by the the behavior of the spatial density modulations, or stripes, induced by spin-orbit coupling, and can in principle be measured in current state-of-the-art experiments with ultracold atoms. Conversely, we show that the properties of the excited phase can be exploited to prepare stripe states with large and stable density modulations.

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Section: Introductionmentioning

confidence: 99%

Excited-state quantum phase transitions in spin-orbit coupled Bose gases

Cabedo,

Celi

2021

Preprint

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“…ESQPTs were introduced as robust singularities in the spectra of energy levels in the nuclear interacting boson model (IBM) [1,9,10], and have since been studied theoretically in numerous other many-body models like the Lipkin model, see, e.g., Refs. [11,12], the molecular vibron model [13,14], the fermionic and bosonic pairing models [15,16], the extended Dicke model of superradiance [17][18][19][20], the Bose-Hubbard model of atom-molecule condensates [21,22], and in algebraic models of two-dimensional crystals [23][24][25]. The ES-QPTs were experimentally observed in molecules [13,14] and in some artificial quantum systems like photonic crystals [23].…”

Section: Introductionmentioning

confidence: 99%

Excited-state quantum phase transitions in systems with two degrees of freedom. III. Interacting boson systems

et al. 2019

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The series of articles [Ann. Phys. 345, 73 (2014) and 356, 57 (2015)] devoted to excited-state quantum phase transitions (ESQPTs) in systems with f = 2 degrees of freedom is continued by studying the interacting boson model of nuclear collective dynamics as an example of a truly manybody system. The intrinsic Hamiltonian formalism with angular momentum fixed to L = 0 is used to produce a generic first-order ground-state quantum phase transition with an adjustable energy barrier between the competing equilibrium configurations. The associated ESQPTs are shown to result from various classical stationary points of the model Hamiltonian, whose analysis is more complex than in previous cases because of (i) a non-trivial decomposition to kinetic and potential energy terms and (ii) the boundedness of the associated classical phase space. Finite-size effects resulting from a partial separability of both degrees of freedom are analyzed. The features studied here are inherent in a great majority of interacting boson systems.

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“…This change of stability has profound implications in the structure of the corresponding rotational spectrum. Finally, note that different analogies have been recently established between the rotation of a rigid body and the dynamics of quantum systems [28,29].…”

Section: Introductionmentioning

confidence: 99%

Classical and quantum rotation numbers of asymmetric-top molecules

et al. 2018

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We study the classical and quantum rotation numbers of the free rotation of asymmetric top molecules. We show numerically that the quantum rotation number converges to its classical analog in the semi-classical limit. Different asymmetric molecules such as the water molecule are taken as illustrative example. A simple approximation of the classical rotation number is derived in a neighborhood of the separatrix connecting the two unstable fixed points of the system. Furthermore, a signature of the classical tennis racket effect in the spectrum of asymmetric molecules is identified.The variables (K, α K ) describe the dynamics of the angular momentum J in the body-fixed frame. With the convention:we deduce the following identification:The Hamiltonian H can be expressed in terms of the new set of coordinates as follows:A first action of the system is given by J, the second I can be written as:

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Analogies of the classical Euler top with a rotor to spin squeezing and quantum phase transitions in a generalized Lipkin-Meshkov-Glick model

Cited by 11 publications

References 98 publications

Excited-state quantum phase transitions in spin-orbit coupled Bose gases

Excited-state quantum phase transitions in spin-orbit coupled Bose gases

Excited-state quantum phase transitions in systems with two degrees of freedom. III. Interacting boson systems

Classical and quantum rotation numbers of asymmetric-top molecules

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