Nonlocal Correlation and Entanglement of Ultracold Bosons in the 2D Bose–Hubbard Lattice at Finite Temperature

Pohl, Ulli; Ray, Saurabh; Kroha, Johann

doi:10.1002/andp.202100581

Cited by 5 publications

(10 citation statements)

References 88 publications

(180 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Solving Ĥb+bc for the matter fields, we apply the Gutzwiller cluster mean-field theory (CMF) on a 2D, bipartite Bose-Hubbard lattice. [27,28] Here, the entire lattice is decomposed into smaller m × n-sized clusters. For any cluster  l , the atomic field operator b⃗ r , ⃗ r ∉  l , in the neighboring cluster is approximated by its average value ⟨ b⃗ r ⟩, i.e., the local condensate amplitude.…”

Section: The Model and Methodsmentioning

confidence: 99%

Temporal Bistability in the Dissipative Dicke‐Bose‐Hubbard System

Wu,

Ray,

Kroha

2024

Annalen der Physik

Self Cite

View full text Add to dashboard Cite

A driven‐dissipative system is considered, consisting of an atomic Bose‐Einstein condensates loaded into a 2D Hubbard lattice and coupled to a single mode of an optical cavity. Due to the interplay between strong, repulsive atomic interaction and the atom‐cavity coupling, the system exhibits several phases of atoms and photons including the atomic superfluid (SF) and supersolid (SS). The dynamical behavior of the system, where dissipation is included by means of Lindblad master equation formalism. Due to the discontinuous nature of the Dicke transition for strong atomic repulsion, extended co‐existence region of different phases are found. The resulting switching dynamics are investigated, particularly between the coexisting SF and SS phases, which eventually becomes damped by the dissipation.

show abstract

Section: The Model and Methodsmentioning

confidence: 99%

Temporal Bistability in the Dissipative Dicke‐Bose‐Hubbard System

Wu,

Ray,

Kroha

2024

Annalen der Physik

Self Cite

View full text Add to dashboard Cite

show abstract

“…With further increasing the temperature, these phases undergo a transition to a homogeneous normal fluid (NF) phase. On the other hand, the insulating Mott phases at finite temperature have a homogeneous structure with non-integer filling, which exhibit a smooth crossover to the NF phase [89,90]. At a sufficiently high temperature, all the phases depicted in figure 3(b) finally melt to the NF phase with vanishing SF order (see figure 3(c)).…”

Section: Finite Temperature Phasesmentioning

confidence: 99%

“…In this section, we describe the method of implementing the 'CMF theory' [54,58,61,62,77,78,[82][83][84][85]89]. As discussed in the previous section, under MF approximation, the inter-site correlations are neglected and the total Hamiltonian of the unit cell can be decoupled individually for each site.…”

Section: Cmf Theorymentioning

confidence: 99%

See 1 more Smart Citation

Finite temperature phases and excitations of bosons on a square lattice: a cluster mean field study

Malakar¹,

Sinha²

2023

J. Stat. Mech.

View full text Add to dashboard Cite

We study the finite temperature phases and collective excitations of hardcore as well as softcore bosons on a square lattice with nearest and next nearest neighbor interactions, focusing on the formation of various types of supersolid (SS) phases and their stability under thermal fluctuations. The interplay between the on-site, nearest, and next nearest neighbor interactions leads to various density ordering and structural transitions, which we have plotted out. Thermodynamic properties and phase diagrams are obtained by cluster mean field theory at finite temperatures, which includes quantum effects systematically, and they are compared with the single-site mean field (MF) results. We investigate the melting process of the SS phase to normal fluid (NF), which can occur in at least two steps due to the presence of two competing orders in the SS. A tetra-critical point exists at finite temperature and exhibits intriguing behavior, which is analyzed for different regimes of interactions. The phase diagrams reveal the different pathways of the thermal transition of SSs to the NF phase, for different interaction regimes, which can be accessible by thermal quench protocols used in recent experiments. We show how the phases and the transitions between them can be identified from the characteristic features of the excitation spectrum. We analyze the appearance of a low-energy gapped mode apart from the gapless sound mode in the SS phase, which is analogous to the gapped mode recently studied for dipolar SS phases. Finally, we discuss the relevance of the results of the present work in the context of ongoing experiments on ultracold atomic gases and newly observed SS phases.

show abstract

“…In this section, we describe the method of implementing the 'cluster mean field theory (CMFT)' [49,53,63,65,[68][69][70][71]79]. As discussed in the previous section, under MF approximation, the inter-site correlations are neglected and the total Hamiltonian of the unit cell can be decoupled individually for each site.…”

Section: Cluster Mean Field Theorymentioning

confidence: 99%

Finite temperature phases and excitations of bosons in a square lattice: A cluster mean field study

Malakar¹,

Sinha²,

Sinha³

2022

Preprint

View full text Add to dashboard Cite

We study the finite temperature phases and collective excitations of hardcore as well as softcore bosons on a square lattice with nearest and next nearest neighbour interactions. We focus on the formation of various types of supersolid phases and their stability under thermal fluctuations. Interplay between the on-site, nearest and next nearest neighbour interactions lead to various density ordering and structural transitions, which are charted out. Thermodynamic properties and phase diagrams are obtained by extending the cluster mean field theory at finite temperatures which includes quantum effects systematically. We investigate the melting process of supersolid phase to normal fluid, which occurs in two steps due to the presence of two competing orders in the supersolid. The existence of a tetra-critical point at finite temperature exhibits intriguing behavior, which is analyzed for different regimes of interactions. We show how the phases and the transitions between them both at zero and finite temperatures can be identified from the excitation spectrum. Apart from the gapless sound mode, the appearance of Higgs like gapped mode in the supersolid phase is analyzed, which is a characteristic feature of such phase. Finally, we discuss the relevance of the results of the present work in the context of ongoing experiments on ultracold atomic gases and newly observed supersolid phases.

show abstract

Nonlocal Correlation and Entanglement of Ultracold Bosons in the 2D Bose–Hubbard Lattice at Finite Temperature

Cited by 5 publications

References 88 publications

Temporal Bistability in the Dissipative Dicke‐Bose‐Hubbard System

Temporal Bistability in the Dissipative Dicke‐Bose‐Hubbard System

Finite temperature phases and excitations of bosons on a square lattice: a cluster mean field study

Finite temperature phases and excitations of bosons in a square lattice: A cluster mean field study

Contact Info

Product

Resources

About