2022
DOI: 10.48550/arxiv.2206.10528
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A quantum information perspective on meson melting

Abstract: We propose to use quantum information notions to characterize thermally induced melting of nonperturbative bound states at high temperatures. We apply tensor networks to investigate this idea in static and dynamical settings within the Ising quantum field theory, where bound states are confined fermion pairs -mesons. In equilibrium, we identify the transition from an exponential decay to a power law scaling with temperature in an efficiently computable second Rényi entropy of a thermal density matrix as a sign… Show more

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Cited by 2 publications
(3 citation statements)
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“…Non-equilibrium dynamics already provided us with a plethora of interesting phenomena, ranging from negative temperature states [1,2] through universal scaling across quantum phase transitions [3][4][5][6] to thermalization dynamics [7][8][9]. In this context, recently there has been a large surge of interest in understanding and analyzing confinement in spin chains [10][11][12][13][14]. Not only is it related to many body localization and slow entanglement dynamics [15][16][17], but confinement is also responsible for creating bound states of several interacting particles [18][19][20].…”
Section: Introductionmentioning
confidence: 99%
“…Non-equilibrium dynamics already provided us with a plethora of interesting phenomena, ranging from negative temperature states [1,2] through universal scaling across quantum phase transitions [3][4][5][6] to thermalization dynamics [7][8][9]. In this context, recently there has been a large surge of interest in understanding and analyzing confinement in spin chains [10][11][12][13][14]. Not only is it related to many body localization and slow entanglement dynamics [15][16][17], but confinement is also responsible for creating bound states of several interacting particles [18][19][20].…”
Section: Introductionmentioning
confidence: 99%
“…This is consistent with the experimental observation on quasi-particles in a large range of coupling 𝑔 tuned by the applied magnetic field. [36] The crossover between the lowest zero line and closed zero curve at 𝑔 ∼ 0.8 gives an energy scale of the competition between domain-wall excitations and confined mesons and suggests future inelastic neutron scattering or terahertz measurements on the decay of mesons (or meson melting [26] ) at 𝑔 (or 1/𝑔) ∼ 0.8. Secondly, the relative norm of partition function 𝑃 is an alternative quantity to classify the excitations in comparison with the spacetime correlation calculation from the ground states with a volume-law-increased quantum entanglement.…”
mentioning
confidence: 99%
“…It is worth emphasizing that this quantity is an analogy of Loschmidt echo [25] for the boundary partition functions in a dynamical phase transition and plays a similar role as the second Rényi entropy. [26] We define the relative norm of partition function…”
mentioning
confidence: 99%