Quantum phase transitions for the Haldane system in higher dimensions: A mixed-spin cluster expansion approach

The dynamics of quantum phase transitions pose one of the most challenging problems in modern many-body physics. Here, we study a prototypical example in a clean and well-controlled ultracold atom setup by observing the emergence of coherence when crossing the Mott insulator to superfluid quantum phase transition. In the 1D Bose–Hubbard model, we find perfect agreement between experimental observations and numerical simulations for the resulting coherence length. We, thereby, perform a largely certified analog quantum simulation of this strongly correlated system reaching beyond the regime of free quasiparticles. Experimentally, we additionally explore the emergence of coherence in higher dimensions, where no classical simulations are available, as well as for negative temperatures. For intermediate quench velocities, we observe a power-law behavior of the coherence length, reminiscent of the Kibble–Zurek mechanism. However, we find nonuniversal exponents that cannot be captured by this mechanism or any other known model.

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Quantum phase transitions

Uspekhi Fizicheskih Nauk ◽

10.3367/ufnr.0174.200408b.0853 ◽

2004 ◽

Vol 174 (8) ◽

pp. 853 ◽

Cited By ~ 10

Author(s):

Sergei M. Stishov

Keyword(s):

Phase Transitions ◽

Quantum Phase Transitions ◽

Quantum Phase

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Magnetic Field- and Pressure-Induced Quantum Phase Transitions in NH4CuCl3

Progress of Theoretical Physics Supplement ◽

10.1143/ptps.159.241 ◽

2005 ◽

Vol 159 ◽

pp. 241-245 ◽

Cited By ~ 3

Author(s):

Masashi Fujisawa ◽

Budhy Kurniawan ◽

Toshio Ono ◽

Hidekazu Tanaka

Keyword(s):

Magnetic Field ◽

Phase Transitions ◽

Quantum Phase Transitions ◽

Quantum Phase

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Chiral Waveguide Optomechanics: First Order Quantum Phase Transitions with Z3 Symmetry Breaking

Physical Review Letters ◽

10.1103/physrevlett.125.263606 ◽

2020 ◽

Vol 125 (26) ◽

Author(s):

D. D. Sedov ◽

V. K. Kozin ◽

I. V. Iorsh

Keyword(s):

Phase Transitions ◽

Symmetry Breaking ◽

Quantum Phase Transitions ◽

Quantum Phase ◽

First Order

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Interaction between Different Kinds of Quantum Phase Transitions

Quantum Reports ◽

10.3390/quantum3020015 ◽

2021 ◽

Vol 3 (2) ◽

pp. 253-261

Author(s):

Angel Ricardo Plastino ◽

Gustavo Luis Ferri ◽

Angelo Plastino

Keyword(s):

Phase Transitions ◽

Nuclear Physics ◽

Body Problem ◽

Quantum Phase Transitions ◽

Quantum Phase ◽

Exactly Solvable Models ◽

Solvable Models ◽

Many Body ◽

Pairing Interaction ◽

Exactly Solvable

We employ two different Lipkin-like, exactly solvable models so as to display features of the competition between different fermion–fermion quantum interactions (at finite temperatures). One of our two interactions mimics the pairing interaction responsible for superconductivity. The other interaction is a monopole one that resembles the so-called quadrupole one, much used in nuclear physics as a residual interaction. The pairing versus monopole effects here observed afford for some interesting insights into the intricacies of the quantum many body problem, in particular with regards to so-called quantum phase transitions (strictly, level crossings).

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